Reports
Reports in Mathematics, University of Helsinki
Editors
Ilkka Holopainen and Kerkko Luosto
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Preprint 520.
T. Hyttinen
Counting Measure and Forking in Finite Models
2011, 14 pp.
AMS Classification: 03C45, 03C13
Preprint 519.
P. Harjulehto, R. Hurri-Syrjänen and A. V. Vähäkangas
On the (1,p)-Poincaré Inequality
2011, 24 pp.
AMS Classification: 26D15, 46E35
Preprint 518.
I. Holopainen
Nonsolvability of the asymptotic Dirichlet problem for the p-Laplacian on Cartan-Hadamard manifolds
2011, 28 pp.
AMS Classification: 58J32, 53C21, 31C45
Preprint 517.
Å. Hirvonen and T. Hyttinen
Metric abstract elementary classes with perturbations
2011, 50 pp.
AMS Classification: Primary 03C52, Secondary 03C45
Preprint 516.
O. Dovgoshey, O. Martio and M. Vuorinen
Metrization of weighted graphs
2011, 12 pp.
AMS Classification: 05C10, 05C12, 54E35
Preprint 515.
K. Böss and H. Nyrhinen
Large deviations of random walks under distribution whose tail is bounded by power functions
2011, 12 pp.
AMS Classification: Primary 60F10
Preprint 514.
Y. Hou
Some inference results on random pure exchange economies
2011, 19 pp.
AMS Classification: Primary 90A14, Secondary 60F15
Preprint 513.
A. Perälä
Toeplitz operators on Bloch-type spaces and classes of weighted Sobolev distributions
2011, 14 pp.
AMS Classification: Primary 47B35, Secondary 30H30, 46F05
Preprint 512.
V. Chousionis and P. Mattila
Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups,
2011, 30 pp.
AMS Classification: Primary 42B20, Secondary 28A75
Preprint 511.
O. Martio
Quasiminimizing properties of solutions to Riccati type equations,
2011, 10 pp.
AMS Classification: Primary 35J60, Secondary 35J25
Preprint 510.
H. Nyrhinen
On stochastic difference equations in insurance ruin theory,
2010, 8 pp.
AMS Classification: Primary 60G40, Secondary 39A50
Preprint 509.
O. Martio
Quasilinear Riccati type equations and quasiminimizers,
2010, 11 pp.
AMS Classification: Primary 35J60, Secondary 35B50
Preprint 508.
A. Perälä and J. A. Virtanen
A note on the Fredholm properties of Toeplitz operators on weighted Bergman spaces with matrix-valued symbols,
2010, 10 pp.
AMS Classification: Primary 47B35, Secondary 47A53, 30H20
Preprint 507.
P. Tukia
Limits of Teichmüller maps,
2010, 36 pp.
AMS Classification: Primary 30F60, Secondary 30C62
Preprint 506.
R. Korte, N. Marola and N. Shanmugalingam
Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property,
2010, 21 pp.
AMS Classification: Primary 30C56, Secondary 31C45, 49J27,35J20
Preprint 505.
O. Dovgoshey and O. Martio
Functions transferring metrics to metrics,
2009, 28 pp.
AMS Classification: Primary 54E35, Secondary 20M18
Preprint 504.
I. Holopainen, S. Pigola and G. Veronelli
Global comparison principles for the p-Laplace operator on Riemannian manifolds,
2009, 12 pp.
AMS Classification: 35B05, 31C45
Preprint 503.
A. Perälä, J. Taskinen and J. Virtanen
Toeplitz operators with distributional symbols on Bergman spaces,
2009, 9 pp.
AMS Classification: 47B35
Preprint 502.
M. Llorente and P. Mattila
Lipschitz equivalence of subsets of self-conformal sets,
2009, 8 pp.
AMS Classification: Primary 28A75, 28A80
Preprint 501.
J. Heinonen and S. Keith
Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds,
2009, 31 pp.
AMS Classification: Primary 30C65, Secondary 58A99
Preprint 500.
V. Chousionis and P. Mattila
Singular integrals on Ahlfors-David regular subsets on the Heisenberg group,
2009, 20 pp.
AMS Classification: Primary 42B20, 28A75
Preprint 499.
A. Vähäkangas
Dirichlet problem on unbounded domains and at infinity,
2009, 26 pp.
AMS Classification: Primary 58J32, Secondary 31C45
Preprint 498.
P. Mattila, R. Serapioni and F. Serra Cassano
Characterizations of intrinsic rectifiability in Heisenberg groups,
2009, 37 pp.
AMS Classification: Primary 28A75, Secondary 28C10
Preprint 497.
H. Nyrhinen
Economic factors and solvency,
2009, 19 pp.
AMS Classification: Primary 91B30, Secondary 60F10
Preprint 496.
K. Luosto
Classifying unary quantifiers,
2009, 31 pp.
AMS Classification: 03C80
Preprint 495.
R. Service
A Ramsey theorem with an application to sequences in Banach spaces,
2009, 7 pp.
AMS Classification: Primary 46B15, Secondary 05D10
Preprint 494.
O. Martio
Capacity estimates for quasiminimizers,
2009, 13 pp.
AMS Classification: 30B15, 30C15
Preprint 493.
P. Pankka
Mappings of bounded mean distortion and cohomology,
2009, 13 pp.,
AMS Classification: 30C64 (53C21 58A12)
Preprint 492.
E. Nummelin
Thermodynamic formalism of stochastic equilibrium economics,
2009, 44 pp.,
AMS Classification: Primary 90A14, 60F15
Preprint 491.
T. Hosokawa, P. J. Nieminen and S. Ohno
Linear combinations of composition operators on the Bloch spaces,
2009, 16 pp.,
AMS Classification: Primary 47B33, Secondary 30D45, 47B07
Preprint 490.
H. Bonsdorff
On optimal monotone Bonus-Malus systems where the premiums depend both on the number and on the severity of the claims,
2008, 27 pp.,
AMS Classification: 46N10, 49M25, 60J20
Preprint 489.
J. Onninen and P. Pankka
Slow mappings of finite distortion,
2008, 22 pp.,
AMS Classification: 30C65 (53C21, 58A12)
Preprint 488.
J. Laitila and H.-O. Tylli
Operator-weighted composition operators on vector-valued analytic function spaces,
2008, 13 pp.,
AMS Classification: Primary 47B33, Secondary 46E40
Preprint 487.
D. Gasbarra, T. Sottinen and H. van Zanten:
Conditional full support of Gaussian processes with stationary increments,
2008, 9 pp.,
AMS Classification: 60G15, 60G10
Preprint 486.
R. Siders:
Dynamic Ehrenfeucht-Fraïssé Games for strong logics over linear orders and other practical results,
2008, 40 pp.,
AMS Classification: 03C64, 03C07, 03C75
Preprint 485.
J. Taskinen and J. Virtanen:
Toeplitz operators on Bergman spaces with locally integrable symbols,
2008, 13 pp.,
AMS Classification: 47B35
Preprint 484.
P. Mattila and P. Saaranen:
Ahlfors-David regular sets and bilipschitz maps,
2008, 20 pp.,
AMS Classification: 28A75
Preprint 483.
Yu. Kozachenko, T. Sottinen and O. Vasylyk:
Lipschitz conditions for ${\rm Sup}{\varphi}(\Omega)$ - processes with - application to weakly self-similar stationary increment processes,
2008, 19 pp.,
AMS Classifiction: 60G17, 60G18
Preprint 482.
O. Dovgoshey, F. Abdullayev and M. K\" u\c c\"ukaslan:
Compact tangent metric spaces,
2008, 33 pp.,
AMS Classification: 54E35
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Preprint 481.
O. Dovgoshey, F. Abdullayev and M. K\" u\c c\"ukaslan:
Tangent metric spaces to convex sets on the plane,
2008, 31 pp.,
AMS Classification: 54E35
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Preprint 480.
O. Dovgoshey and O. Martio:
Tangent spaces to metric spaces,
2008, 20 pp.,
AMS Classification: 54E35
Preprint 479.
V. Chousionis and P. Mattila:
Boundedness and convergence for singular integrals of measures separated by Lipschitz graphs,
2008, 12 pp.,
AMS Classification: 42B20
Preprint 478.
B. Bojarski, V. Gutlyanski\u \i\ and V. Ryazanov:
On general degenerate Beltrami equation,
2008, 22 pp.,
AMS Classification: Primary 30C65; Secondary 30C75
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Preprint 477.
V. Chousionis:
Weak convergence of singular integrals,
2008, 15 pp.,
AMS Classification: Primary 42B20
Preprint 476.
P.V. Paramonov:
On $C^1$-extension and $C^1$-reflection of subharmonic functions from Lyapunov-Dini domains to ${\Bbb R}^N$,
2008, 33 pp.,
AMS Classification: Primary 31B05; Secondary 34B27, 30E10
Preprint 475.
J. Taskinen and J. A. Virtanen:
Spectral theory of Toepliz and Hankel operators on the Bergman space $A^1$,
2008, 16 pp., AMS Classification: 47B35, 47A53, 32A36, 32A37
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Preprint 474.
A. Björn and O. Martio:
Pasting lemmas and characterizations of boundary regularity for quasiminimizers,
2008, 13 pp.,
AMS Classification: Primary 31C45, Secondary 31B25, 35J60, 35J65
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Preprint 473.
J. Talponen:
Convex-transitivity and function spaces,
2007, 15 pp.,
AMS Classification: Primary 46B04; Secondary 46E40
Preprint 472.
S.A. Nazarov, J. Sokolowski and J. Taskinen:
Neumann Laplacian on a domain with tangential components in the boundary,
2007, 13 pp.,
AMS Classification: Primary 35J25, Secondary 46E35, 35J20
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Preprint 471.
V. Ryazanov, U. Srebro and E. Yakubov:
Extension of Lehto's existence theorem and its consequences,
2007, 28 pp.,
AMS Classification: Primary 30C65; Secondary 30C75
Preprint 470.
M. S. Pakkanen:
Diffusion limits for endogeneous asset price fluctuations in a microstructural market model,
2007, 20 pp.,
AMS Classification: Primary 91B26; Secondary 60F17
http://www.helsinki.fi/~mpakkane/docs/MP-Diffusion-Limits-2-10-2007.pdf
Preprint 469.
S. Costea:
Sobolev capacity and Hausdorff measures in metric measure spaces,
2007, 15 pp.,
AMS Classification: Primary 31C15, 46E30
Preprint 468.
A. Clop and I. Uriarte-Tuero:
Sharp nonremovability examples for Hölder continuous quasiregular mappings in the plane,
2007, 19 pp.,
AMS Classification: Primary 30C62, 35J15
Preprint 467.
Serban Costea:
Besov capacity and Hausdorff measures in metric measure spaces,
2007, 25 pp.,
AMS Classification: Primary 31C99, 46E35
Preprint 466.
V. Ryazanov and R. Salimov:
On the mapping theory in metric spaces,
2007, 34 pp.,
AMS Classification: 30C65; 30C75
Preprint 465.
L. Diening, P. Harjulehto, P. Hästö, Y. Mizuta and T. Shimomura:
Maximal functions in variable exponent spaces: Limiting cases of the exponent,
2007, 19 pp,
AMS Classification: 42B25, 46E30
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Preprint 464.
E.A. Gallardo-Gutiérres, M.J. Gonzáles, P.J. Nieminen and E. Saksman:
On the connected component of compact composition operators on the Hardy space,
2007, 15 pp.,
AMS Classification: Primary 47B33, Secondary 30D55, 47B38
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Preprint 463.
R. Salimov:
Absolute continuity and differentiability of Q-homeomorphisms,
2007, 7 pp.,
AMS Classification: 30C65; 30C75
Preprint 462.
I. Prause:
Distortion of dimension under quasiconformal mappings,
2007, 15 pp.,
AMS Classification: 30C62, 30C65
Preprint 461.
J. Laitila:
Isometric composition operators on BMOA,
2007, 9 pp.,
AMS Classification: Primary 47B33, Secondary 30D50, 30C80
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Preprint 460.
J. Talponen:
Convex-transitive characterizations of Hilbert spaces,
2007, 23 pp.,
AMS Classification: Primary 46B05, Secondary 46C15
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Preprint 459.
O. Martio:
Reflection principle for quasiminimizers,
2007, 10 pp.,
AMS Classification: Primary 31B25, Secondary 35J65
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Preprint 458. I. Prause:
Flatness properties of quasispheres,
2007, 15 pp.,
AMS Classification: 30C65
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Preprint 457.
I. Prause:
A note on distortion of Hausdorff measures under quasiconformal mappings,
2007, 5 pp.,
AMS Classification: 30C62
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Preprint 456. O. Dovgoshey and O. Martio:
On the distortion coefficient in the Basic Covering Theorem,
2007, 24 pp.,
AMS Classification: 54E35
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Preprint 455.
O. Martio, V.M. Miklyukov and M. Vuorinen:
Ahlfors theorems for differential forms,
2007, 34 pp.,
AMS Classification: 58A10
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Preprint 454.
V.N. Dubinin and M. Vuorinen:
Robin functions and distortion theorems for regular mappings,
2007, 21 pp.,
AMS Classification: 30C55
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Preprint 453.
A. Rasila and T. Sottinen:
Arbitrage by changing the stock exchange,
2007, 5 pp.,
AMS Classification: 91B28; 60H30
Preprint 452.
C. Jost:
A note on ergodic transformations of self-similar Volterra Gaussian processes,
2007, 8 pp.,
AMS Classification: 60G15; 60G18; 37A25
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Preprint 451.
O. Dovgoshey and O. Martio:
Some questions and remarks on the basic covering theorem,
2007, 11 pp.,
AMS Classification: 54E35
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Preprint 450.
J. Laitila, H.-O. Tylli and M. Wang:
Composition operators from weak to strong spaces of vector-valued analytic functions,
2007, 13 pp.,
AMS Classification: Primary 47B33, Secondary 46E40
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Preprint 449.
V. Heikkala, H. Lindén, M.K. Vamanamurthy and M. Vuorinen:
Generalized elliptic integrals II,
2006, 28 pp.,
AMS Classification: Primary 33B15, 33C05, Secondary 30C62
Preprint 448.
C. Jost:
Measure-preserving transformations of Volterra Gaussian processes and related bridges,
2006, 23 pp.,
AMS Classification: 60G15; 37A05; 42C10; 60G44
Preprint 447.
J. Kinnunen and P. Lindqvist:
Definition and properties of supersolutions to the porous medium equation,
2006, 32 pp,
AMS Classification: 35K55
Preprint 446.
J. Väisälä:
Quasihyperbolic geometry of domains in Hilbert spaces,
2006, 22 pp.,
AMS Classification: 30C65
http://www.helsinki.fi/~jvaisala/QHilbert.pdf
Preprint 445.
S. Costea:
Scaling invariant Sobolev-Lorentz capacity on R n,
2006, 17 pp.,
AMS Classification: 31C15
Preprint 444.
I. Holopainen, S. Markvorsen and V. Palmer:
p-capacity and p-hyperbolicity of submanifolds,
2006, 17 pp.,
AMS Classification: Priamry 53C40, 31C12; Secondary 53C21, 31C45, 60J65
http://www.helsinki.fi/~iholopai/pLapMod16.ps
http://www.helsinki.fi/~iholopai/pLapMod16.pdf
Preprint 443.
P. Mattila and J. Verdera:
Convergence of singular integrals with general measures,
2006, 17 pp.,
AMS Classification: 42B20
Preprint 442.
J. Talponen:
On asymptotic transitivity in Banach spaces,
2006, 16 pp.,
AMS Classification: Primary 46C15, 46B04; Secondary 46B03, 46B20
Preprint 441.
J. Kinnunen, N. Marola and O. Martio:
Harnack's principle for quasiminimizers,
2006, 18 pp.,
AMS Classification: Primary 49J52; Secondary 35J60, 49J27
Preprint 440.
O. Martio:
Boundary behavior of quasiminimizers and Dirichlet finite PWB solutions in the borderline case,
2006, 13 pp,
AMS Classification: Primary 31B25; Secondary 35J65
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Preprint 439.
K. Vehkalahti, S. Puntanen and L. Tarkkonen:
Effects of measurement errors in predictor selection of linear regression model,
2006, 19 pp.,
AMS Classification: 62J05, 62H25, 62H20, 91C05
Preprint 438.
P. Harjulehto, P. Hästö and V. Latvala:
Minimizers of the variable exponent, non-uniformly convex Dirichlet energy,
2006, 24 pp.,
AMS Classification: Primary 35J60; Secondary 26B30, 35B40, 35J25, 46E35
http://www.helsinki.fi/~pharjule/varsob/pdf/ptoonesubm.pdf
Preprint 437.
J. Laitila:
Weighted composition operators on BMOA,
2006, 22 pp.,
AMS Classification: Primary 47B38; Secondary 30H05, 30D50
Preprint 436.
P. J. Nieminen:
Compact differences of composition operators on Bloch and Lipschitz spaces,
2006, 16 pp.,
AMS Classification: Primary 47B33; Secondary 30D45, 47B07
Preprint 435.
J. Kontinen:
Logical characterization of the counting hierarchy,
2006, 24 pp.,
AMS Classification: Primary 68Q19; Secondary 03C80, 03C85
Preprint 434.
H. Nyrhinen:
On large deviations of multivariate heavy tailed random walks,
2006, 14 pp.,
AMS Classification: 60F10
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Preprint 433.
J. Taskinen:
Asymptotical behaviour of a class of semilinear diffusion equations,
2006, 15 pp.,
AMS Classification: Primary 35B40; Secondary 35K57, 35K45
Preprint 432.
M. Engliš and J. Taskinen:
Deformation quantization and Borel's theorem in locally convex spaces,
2006, 14 pp.,
AMS Classification: Primary 46A13; Secondary 53D55, 26B05, 47B35
Preprint 431.
P. Pankka:
Slow quasiregular mappings and universal coverings,
2006, 24 pp., AMS Classification: 30C65 (53C21, 58A12)
Preprint 430.
Kimmo Vehkalahti, Simo Puntanen and Lauri Tarkkonen:
Estimation of reliability:
a better alternative for Cronbach's alpha,
2006, 20 pp.,
AMS Classification: 62H25, 62H20, 91C05
Preprint 429.
I. Prause:
A remark on quasiconformal dimension distortion on the line,
2005, 12 pp., AMS Classification: 30C62
Preprint 428.
J. Laitila:
Composition operators and vector--valued BMOA,
2005, 14 pp.,
AMS Classification: Primary 47B33; Secondary 30D50, 46E40
Preprint 427.
T. Sottinen and C. Tudor:
Parameter estimation for stochastic equations with additive fractional Brownian sheet,
2005, 15 pp., AMS Classification: 60G15, G0H07, 60G35, 62M40
Preprint 426.
H. Nyrhinen:
Convex large deviation rate functions under mixtures of linear transformations, with an application to ruin theory,
2005, 16 pp.,
AMS Classification: Primary 60F10; Secondary 60G40
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Preprint 425.
V.M. Miklyukov:
On maps almost quasi-conformally close to quasi-isometries,
2005, 26 pp.,
AMS Classification: Primary 26B35; Secondary 26B10
Preprint 424.
C. Jost:
A note on the connection between Molchan-Golosov- and Mandelbrot-Van Ness representation of fractional Brownian motion,
2005, 19 pp.,
AMS Classification:60G15; 60G18
Preprint 423.
Aleksi Vähäkangas:
Dirichlet problem at infinity for ${\cal A}$-harmonic functions,
2005, 15 pp.,
AMS Classification: 58J32, 31C12, 31C45
Preprint 422.
J. Väisälä:
Quasihyperbolic geodesics in convex domains,
2005, 12 pp.,
AMS Classification: 30C65
http://www.helsinki.fi/~jvaisala/qhgeo.pdf
Preprint 421.
P. Harjulehto, P. Hästö and V. Latvala:
Sobolev embeddings in metric measure spaces with variable dimension,
2005, 20 pp.,
AMS Classification: Primary 46E35; Secondary 28A78, 28A80, 42B20, 46E30
Preprint 420.
K. Falk and P. Tukia:
A note on Patterson measures,
2005, 11 pp.,
AMS Classification: Priamry 30F40; Secondary 37F30, 37F35
Preprint 419.
D. Kovtonyuk and V. Ryazanov:
Homeomorphisms with lower bounds for moduli,
2005, 22 pp.,
AMS Classification: 30C65
Preprint 418.
I. Holopainen, U. Lang and A. Vähäkangas:
Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces,
2005, 36 pp.,
AMS Classification: 58J32, 53C23, 31C45
http://www.helsinki.fi/~iholopai/HLV.ps
http://www.helsinki.fi/~iholopai/HLV.pdf
Preprint 417.
V.N. Dubinin and M. Vuorinen:
On conformal moduli of polygonal quadrilaterals,
2005, 12 pp.,
AMS Classification: Primary 30C85; Secondary 30C65
Preprint 416.
V. Gutlyanski\v i and O. Martio:
Boundary regularity of conformal maps with quasiconformal extension,
2005, 20 pp.,
AMS Classification: 30C55,60
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Preprint 415.
O. Dovgoshey:
From the disk to the Caratheodory domains,
2005, 14 pp.,
AMS Classification: Primary 30E10; Secondary 46J15, 46E25
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Preprint 414.
V. Gutlyanski\v i and O. Martio:
On regularity of a quasiconformal mapping at a point of maximal streching,
2005, 8 pp.,
AMS Classification: 30C62
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Preprint 413.
A. Rasila:
Multiplicity and boundary behavior of quasiregular maps,
2005, 10 pp.,
AMS Classification: 30C65
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Preprint 412.
O. Martio, V.M. Miklyukov and M. Vuorinen:
Wiman and Arima theorems for quasiregular mappings,
2005, 29 pp.,
AMS Classification: Primary 30C65, Secondary 31C12
Preprint 411.
J. Laitila and H.-O. Tylli:
Composition operators on vector-valued harmonic functions and Cauchy transforms,
2005, 22 pp.,
AMS Classification: Promary 47B33; Secondary 46E40, 46G10
Preprint 410.
C. Jost:
A transformation formula for fractional Brownian motion,
2005, 27 pp., AMS Classification: 60G15, 26A33, 60H05
Preprint 409.
H. Lindén:
Gromov hyperbolicity of conformal invariant metrics,
2005, 10 pp.,
AMS Classification: Primary 30F45; Secondary 30C20
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Preprint 408.
V. Suomala:
Local distribution of fractal sets and measures,
2005, 18 pp.,
AMS Classification: 28A75
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Preprint 407.
H. Nyrhinen:
Power estimates for ruin probabilities,
2004, 21 pp.,
AMS Classification: Primary 60G40; Secondary 60F10
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Preprint 406.
E. Nummelin:
A Perron-Frobenius theorem for cone-preserving linear operators in a vector space I: General results,
2004, 16 pp.,
AMS Classification: Primary 47B65; Secondary 47A67, 47A75
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Preprint 405.
J. Bonet, M. Engliš and J. Taskinen:
Weighted $L^{\infty}$-estimates for Bergman projections,
2004, 23 pp.,
AMS Classification: 47B38, 46A13
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Preprint 404.
V. Heikkala, M.K. Vamanamurthy and M. Vuorinen:
Generalized ellipic integrals,
2004, 30 pp.,
AMS Classification: Primary 33B15, 33C05; Secondary 30C62
Preprint 403.
D. Kovtonyuk and V. Ryazanov:
To the theory of mappings with finite area distortion,
2004, 11 pp.,
AMS Classification 30C65
Preprint 402.
V.A. Klyachin, A.V. Kochetov and V.M. Miklyukov:
Some elementary inequalities in gas dynamics equation,
2004, 26 pp.,
AMS Classification Priamry 35J60; Secondary 35Q35
Preprint 401.
O. Martio, V. Miklyukov and M. Vuorinen:
On quasiplanes in $R^n$ with codimension $> 1$,
2004, 8 pp.,
AMS Classification: 30C62, 30C65
Preprint 400.
P. Mattila:
Measures with unique tangent measures in metric groups,
2004, 11 pp.,
AMS Classification: Primary 28A 75; Secondary 28C10
Preprint 399.
P. Pankka:
Quasiregular mappings from a punctured ball into compact manifolds,
2004, 25 pp.,
AMS Classification: Primary 30C65; Secondary 53C21, 58A12
Preprint 398.
Yu. Kozachenko, T. Sottinen and O. Vasylyk:
Simulation of weakly self-similar stationary increment Sub{\phi}(\Omega)-prosesses: a series expansion approach,
2004, 20 pp.,
AMS Classification: 60G18, 60G15, 68U20, 33C10
Preprint 397.
J.W. Anderson, K. Falk and P. Tukia:
Conformal measures associated to ends of hyperbolic $n$-manifolds,
2004, 22 pp.,
AMS Classification: Primary 30F40; Secondary 37F30, 37F35
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Preprint 396.
O. Blasco, M. Lindström and J. Taskinen:
Bloch-to-$BMOA$ compositions in several complex variables,
2004, 16 pp.,
AMS Classification: Primary 47B33, Secondary 32A02, 32A18, 32A70
Preprint 395.
T. Hyttinen and M. Viljanen:
Independence in local abstract elementary classes, part I,
2004, 46 pp.,
AMS Classification: Primary 03C45, Secondary 03C52
Preprint 394.
O. Dovgoshey and O. Martio:
Singular functions and arc length,
2004, 15 pp.,
AMS Classification: Primary 26A30; Swcondary 51M25, 14H50
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Preprint 393.
T. Sottinen and C.A. Tudor:
On the equivalence of multiparameter Gaussian processes,
2004, 23 pp.,
AMS Classification: Primary 60G15, Secondary 60G30, 60H05
Preprint 392.
J. Laitila:
Weakly compact composition operators on vector-valued BMOA,
2004, 14 pp.,
AMS Classification: 47B33, 30D50, 46E40
Preprint 391.
H. Bonsdorff:
On asymptotic properties of Bonus--Malus systems based on the number and on the size of the claims,
2004, 12 pp.,
AMS Classification: 60J05, 60J20
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 390.
J. Väisälä:
Broken tubes in Hilbert spaces,
2004, 10 pp., AMS Classification: 30C65
http://www.helsinki.fi/~jvaisala/murto.pdf
Preprint 389.
J. Väisälä:
Hyperbolic and uniform domains in Banach spaces,
2004, 45 pp.,
AMS Classification: 30C65, 53C23
http://www.helsinki.fi/~jvaisala/hypuni.pdf
Preprint 388.
P. Harjulehto. P. Hästö and M. Pere:
Variable exponent Sobolev spaces on metric measure spaces,
2004, 25 pp.,
AMS Classification: Primary 46E35; Secondary 31B15
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Preprint 387.
S.-L. Qiu and M. Vuorinen:
Some properties of the gamma and psi functions, with applications,
2004, 22 pp.,
AMS Classification: Primary 33B15; Secondary 26B15, 26D15, 51M25
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Preprint 386.
J. Kontinen:
The hierarachy theorem for second order generalized quantifiers,
2004, 18 pp.,
AMS Classification: Primary 03C80; Secondary 03C13, 03C85
Preprint 385.
J. Kinnunen and P. Lindqvist:
Summability of semicontinuous supersolutions to a quasilinear parabolic equations,
2004, 18 pp.,
AMS Classification: 35K55
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Preprint 384.
M. Malmivuori:
Electric and magnetic Green's functions in a smoothly layered medium/general case,
2004, 50 pp.,
AMS Classification: Primary 35Q60, 47G10, 47G30; Secondary 35S05, 35C15, 46A32
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 383.
V.M. Miklyukov, S.S. Polypanov and R.A. Tarapata:
Stabilization theorems for solutions of gas dynamics equation,
2004, 22 pp.,
AMS Classification: 35L65, 30C62, 76N15
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Preprint 382.
O. Martio, V. Miklyukov and M. Vuorinen:
Removable singularities of ${\cal WT}$--differential forms and quasiregular mappings,
2004, 13 pp.,
AMS Classification: 30C65, 58A14
Preprint 381.
J. Väisälä:
Gromov hyperbolic spaces,
2004, 38 pp.,
AMS Classification: 58C23
http://www.helsinki.fi/~jvaisala/grobok.pdf
Preprint 380.
J. Kontinen:
Definability of second order generalized quantifiers,
2004, 21 pp.,
AMS Classification: Primary 03C80; Secondary 03C13, 03C85
Preprint 379.
O. Dovgoshey and O. Martio:
The arc length evaluations and Lebesgue decomposition,
2004, 11 pp.,
AMS Classification: 26A30)
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 378.
P. Harjulehto, P. Hästö and O. Martio:
Fuglede's theorem in variable exponent Sobolev space,
2004, 10 pp.,
AMS Classification: 46E35
Preprint 377.
P.J. Nieminen and E. Saksman:
On compactness of the difference of composition operators,
2003, 18 pp.,
AMS Classification: Primary 47B33, Secondar 30D55,47B07
Preprint 376.
H. Nyrhinen:
Hitting probabilities for heavy tailed random walks,
2003, 21 pp.,
AMS Classification: Primary 60G40, Secondary 60F10
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Preprint 375.
J. Kinnunen and P. Lindqvist:
Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation,
2003, 23 pp.,
AMS Classification: 35K55
Preprint 374.
H. Haario, M. Laine, A. Mira and E. Saksman:
DRAM: Efficient adaptive MCMC,
2003, 17 pp.,
AMS Classification: 65C05, 65C40
Preprint 373.
P. Tukia:
Teichmüller sequences on trajectories invariant under a Kleinian group,
2003, 43 pp.,
AMS Classification: Primary 30F60, Secondary 30F40, 30C62
Preprint 372.
S. Rickman:
Simply connected quasiregularly elliptic 4-manifolds,
2003, 13 pp.,
AMS Classification: Primary 30C65; Secondary 57M12
Preprint 371.
P. Harjulehto, P. Hästö and M. Pere:
Variable exponent Lebesgue spaces on metric spaces: The Hardy-Littlewood maximal operator,
2003, 12 pp.,
AMS Classification: 42B25, 42B33
Preprint 370.
K. Astala and L. Päivärinta:
Calderon's inverse conductivity problem in the plane,
2003, 40 pp.,
AMS Classification: Primary 35R30, Secondary 35J15
Preprint 369.
V. Ryazanov, U. Srebro and E. Yakubov:
Degenerate Beltrami equation and radial $Q$--homeomorphisms,
2003, 34 pp.,
AMS Classification: Primary 30C65; Secondary 30C75
Preprint 368.
I. Holopainen and P. Pankka:
A big Picard theorem for quasiregular mappings into manifolds with many ends,
2003, 9 pp.,
AMS Classification: 30C65
http://www.helsinki.fi/~iholopai/bigPicard.ps
http://www.helsinki.fi/~iholopai/bigPicard.pdf
Preprint 367.
V. Ryazanov and E. Sevost'yanov:
To the theory of normal families of space mappings,
2003, 13 pp.,
AMS Classification: Primary 30C65; Secondary 30C75
Preprint 366.
O. Dovgoshey, O. Martio, V. Ryazanov and M. Vuorinen:
On linear distortion of Hausdorff dimension,
2003, 18 pp.,
AMS Classification: 28A78
Preprint 365.
P. Hästö and H. Lindén:
Isometries of the half-apollonian metric,
2003, 10 pp.,
AMS Classification: 53 M 15, 30F46
Preprint 364.
P. Harjulehto and P. Hästö:
Lebesgue points in variable exponent spaces,
2003, 9 pp.,
AMS Classifiction: 46E35
Preprint 363.
T. Blomster:
Stochastic equilibrium in financial markets,
2003, 8 pp.,
AMS Classification: 81B70
Preprint 362.
P. Alestalo, D.A. Trotsenko and J. Väisälä:
Linear bilipschitz extension property,
2003, 15 pp.,
AMS Classification: 30C65, 46B20
Preprint 361.
M. Kuusela:
On large deviations of fixed points,
2003, 13 pp.,
AMS Classification: 60F10, 91B52
Preprint 360.
M. Lassas, L. Päivärinta and E. Saksman:
Inverse Schrödinger scattering problem for random potentials in plane,
2003, 63 pp.,
AMS Classification: 35R30, 35P25, 82D30, 60J25
Preprint 359.
A.A. Gushchin and E. Valkeila:
Approximations and limit theorems for likelihood ratio processes in the binary case,
2003, 47 pp.,
AMS Classification: 60F05, 60F17, 60G30, 60G44, 62E20
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Preprint 358.
G. Li and J. Yang:
Asymptotically linear elliptic systems,
2003, 26 pp.,
AMS Classification: 35J60; 35J20
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Preprint 357.
Y. Hu and H. Nyrhinen:
Large deviations viewpoints for heavy tailed random walks,
2003, 13 pp.,
AMS Classification: 60F10
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Preprint 356.
M. Engli\v s, T. T. Hänninen and J. Taskinen:
Minimal $L^{\infty}$-type spaces on strictly pseudoconvex domains on which the Bergman projection is continuous,
2003, 17 pp.,
AMS Classification: Primary 32A10; Secondary 40E10, 32T15
Preprint 355.
O. Dovgoshey, O. Martio, V. Ryazanov and M. Vuorinen:
The Cantor set and representations of numbers,
2003, 17 pp.,
AMS Classification: Primary 11A67
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Preprint 354.
P. Harjulehto and P. Hästö:
A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces,
2003, 13 pp.,
AMS Classification: 46E35
Preprint 353.
P. Harjulehto, P. Hästö, M. Koskenoja and S. Varonen:
The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values,
2003, 15 pp.,
AMS Classification: 46E35, 31C45, 35J65
Preprint 352.
V. Heikkala and M. Vuorinen:
Teichm\"uller's extremal ring problem,
2003, 20 pp.,
AMS Classification: Primary 30C75, Secondary 31B15
Preprint 351.
T. Hyttinen:
Random logarithm and homogeneity,
2003, 31 pp.,
AMS Classification: Primarity 03C52, Secondary 03C60, 03C68
Preprint 350.
A. Ignat'ev and V. Ryazanov:
On the boundary behavior of space mappings,
2003, 11 pp.,
AMS Classification: Primary 30C65, Secondary 30C75
Preprint 349.
P.V. Gapeev:
On arbitrage and Markovian short rates for fractional bond markets,
2003, 11 pp,,
AMS Classification: 91B28, 60G15
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Preprint 348.
S. Keith and T. Laakso:
Conformal Assouad dimension and modulus,
2003, 36 pp.,
AMS Classification: 30C65, 53C24
Preprint 347.
O. Martio and V. Miklyukov:
On existence and uniqueness of degenerate Beltrami equation,
2003, 12 pp,
AMS Classification: Primary 30C62, Secondary 35J70
Preprint 346.
I.V. Zhuravlev, A.Yu. Igumnov and V.M. Miklyukov:
On an implicit function theorem,
2003, 9 pp.,
AMS Classification: Primary 26B35, Secondary 26B10
Preprint 345.
M. Malmivuori:
An inverse problem for time-harmonic electromagnetic currents in a smoothly layered medium,
2003, 37 pp.,
AMS Classification: Primary 35Q60, 78A46, 35R30, Secondary 46A32
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Preprint 344.
J. Kinnunen and O. Martio:
Potential theory of quasiminimizers,
2003, 27 pp.,
AMS Classification: 31C45, 49N60
Preprint 343.
M. Kuusela:
On price equilibria of random economies,
2003, 12 pp.,
AMS Classification: 91B52, 60F10
Preprint 342.
H. Haario, E. Saksman and J. Tamminen:
Componentwise adaptation for MCMC,
2003, 20 pp.,
AMS Classification: 65C05, 65C40
Preprint 341.
P. Hästö:
The Apollonian metric and bilipschitz mappings,
2003, 5 pp.,
Preprint 340.
H. Nyrhinen:
Large deviations with applications to insurance problems,
2003, 7 pp.,
AMS Classification: 60F10
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Preprint 339.
I. Holopainen and P. Pankka:
Mappings of finite distortion: Global homeomorphism theorem,
2002, 22 pp.,
AMS Classification: 30C65
http://www.helsinki.fi/~iholopai/mfdght.ps
http://www.helsinki.fi/~iholopai/mfdght.pdf
Preprint 338.
P. Harjulehto, P. Hästö, M. Koskenoja and S. Varonen:
Sobolev capacity on the space $W^{1,p(\cdot)}({\Bbb R}^n)$,
2002, 12 pp.,
AMS Classification: 40E35, 31B15
Preprint 337.
Y. Mishura:
Fractional stochastic integration and Black-Scholes equation for fractional Brownian model with stochastic volatility,
2002, 19 pp.,
AMS Classification: 60G15, 60H30, 91B28
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Preprint 336.
V. Gutlyanski\v i and O. Martio:
On regularity of quasiconformal curves,
2002, 20 pp.,
AMS Classification: 30C55,60
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Preprint 335.
T. Sottinen and E. Valkeila:
On arbitrage and replication in the fractional Black--Scholes pricing model,
2002, 13 pp.,
AMS Classification: 60F17, 60G15, 90A09;
JEL Classification: C60, G10
Preprint 334.
J. Kinnunen and N. Shanmugalingam:
Polar sets on metric spaces,
2002, 25 pp.,
AMS Classification: 31C45, 49N60
Preprint 333.
J. Kinnunen and O. Martio:
Sobolev space properties of superharmonic functions on metric spaces,
2002, 12 pp.,
AMS Classification: 31C45, 46E35
Preprint 332.
A. Ignat'ev and V. Ryazanov:
Finite mean oscillation in the mapping theory,
2002, 17 pp.,
AMS Classification: Primary 30C65, Secondary 30C75
Preprint 331.
F.G. Abdullayev and O.A. Dovgoshey:
General Bieberbach polynomials and point evaluations,
2002, 11 pp.,
AMS Classification: Primary 42C05, Secondary 30E10
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Preprint 330.
O. Martio, V. Miklyukov and M. Vuorinen:
Functions monotone close to boundary,
2002, 20 pp.,
AMS Classification: Primary 35J70, Secondary 30C62
Preprint 329.
O. Martio, V. Miklyukov and M. Vuorinen:
Some remarks on an existence problem for degenerate elliptic systems,
2002, 9 pp.,
AMS Classification: Primary 35J70, Secondary 30C62
Preprint 328.
T. Sottinen:
On Gaussian processes equivalent in law to fractional Brownian motion,
2002, 17 pp.,
AMS Classification: Primary 60G15, Secondary 60G30, 60h05
Preprint 327.
M. Lindström, E. Saksman and H.-O. Tylli:
Strictly singular and cosingular multiplications,
2002, 27 pp.,
AMS Classification: 47B47, 46B28
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Preprint 326.
P. Nieminen and E. Saksman:
Boundary correspondence of Nevanlinna counting functions for self-maps of the unit disc,
2002, 20 pp.,
AMS Classification: Primary 30D35, 30D50, Secondary 47B33
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Preprint 325.
A. Hohti:
Recursive synthesis and the foundations of mathematics,
2002, 20 pp.,
AMS Classification: Primary 03A05, Secondary 00A30
Preprint 324.
R. Goebel:
Continuity of the cone functor,
2002, 12 pp.,
AMS Classification: Primary 54C35; Secondary 54G20, 54H99, 18D99
Preprint 323.
D. Faraco:
Tartar conjecture and Beltrami operators,
2002, 23 pp.,
AMS Classification: 30C62, 40J45, 35J45
Preprint 322.
O. Martio, V. Ryazanov, U. Srebro and E. Yakubov:
Mappings of finite length distortion,
2002, 20 pp.,
AMS Classification: Primary 30C65; Secondary 30C75
Preprint 321.
P. Harjulehto:
Sobolev extension domains,
2002, 5 pp.
Preprint 320.
T. J. Laakso:
Look-down equivalence without BPI equivalence,
2002, 11 pp.,
AMS Classification: Primary 28A80; Secondary 28A75, 46E35
Preprint 319.
J. Väisälä:
Locally bilipschitz maps of roughly dense sets,
2002, 16 pp.,
AMS Classification: 30C65; 46B20
Preprint 318.
O. Martio, V. Ryazanov, U. Srebro and E. Yakubov:
On boundary behavior of $Q$-homeomorphisms,
2002, 12 pp,
AMS Classification: Primary 30C65; Secondary 30C75
Preprint 317.
Yu. Kozachenko, T. Sottinen and O. Vasylyk:
Weakly self-similar stationary increment processes from the space ${\rm SSub}{\varphi}(\Omega)$,
2002, 14pp.,
AMS Classification: Primary 60G07, Secondary 60G70
Preprint 316.
O. Martio, V.M. Miklyukov and M. Vuorinen:
Relative distance and boundary properties of nonparametric surfaces with finite area,
2002, 18 pp.,
AMS Classification: Primary 31C45, Secondary 53A10
Preprint 315.
O. Martio, V. Miklyukov and M. Vuorinen:
Generalized Wiman and Arima theorems for n--subharmonic functions over cones,
2002, 29 pp.,
AMS Classification: 30C65, 31C45
Preprint 314.
T. Sugawa and M. Vuorinen:
Some inequalities for the Poincaré metric of plane domains,
2002, 20 pp.,
AMS Classification: Primary 30F45; Secondary 30A10
Preprint 313.
Yurii N. Lin'kov:
Large deviations in testing of models with fractional Brownian motion,
2002, 14 pp.,
AMS Classification: 60F10, 62M07, 91B70
Preprint 312.
P. \v Semrl and J. Väisälä:
Nonsurjective nearisometries of Banach spaces,
2001, 11 pp.,
AMS Classification: 46B04
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 311.
H.-O. Tylli:
Exotic algebra norms on quotient algebras of the bounded linear operators,
2001, 14 pp.,
AMS Classification: 47L10, 46B28, 46H35
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Preprint 310.
E. Nummelin:
MC's for MCMC'ists,
2001, 39 pp.,
AMS Classification: 60J05, 65C05
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Preprint 309.
V. Gutlyanski\v i and O. Martio:
Conformality of a quasiconformal mapping at a point,
2001, 15 pp.,
AMS Classification: 30C62
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 308.
J. Kinnunen and E. Saksman:
Regularity of the fractional maximal function,
2001, 8 pp.,
AMS Classification: 42B25, 46E35, 31B15
Preprint 307.
H. Nyrhinen:
Joining large deviations under bounds of random vectors,
2001, 22 pp.,
AMS Classification: 60F10
Preprint 306.
J. Hirschorn:
Random gaps under CH,
2001, 11 pp.,
AMS Classification: Primary 03E05, Secondary 03E40, 03E50, 28E15
http://www.helsinki.fi/~hirschor/random.gap.ch.ps
Preprint 305.
J. Malý:
Lectures on change of variables in integral,
2001, 46 pp.
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 304.
P. Tukia:
Limits of Teichm\"uller mappings on trajectories,
2001, 42 pp.,
AMS Classification: Primary 30C62, Secondary 30C75, 30F60
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 303.
T. Blomster and K. Dzhaparidze:
On Cobb-Douglas dynamical exchange economies,
2001, 29 pp.,
AMS Classification: 91B70, 91B62, 62P20
Preprint 302.
T. Sottinen and E. Valkeila:
Fractional Brownian motion as a model in finance,
2001, 16 pp.,
AMS Classification: 60F17, 60G15, 90A09
Preprint 301.
A. Hellsten, T. Hyttinen and S. Shelah:
Potential isomorphism and semi-proper trees,
2001, 16 pp., AMS Classification: 03E05, 03C55
http://www.helsinki.fi/~hellsten/pi.ps
Preprint 300.
E. Nummelin:
Entropy and equilibrium II: Calibration of microeconomic models,
2001, 21 pp.,
AMS Classification: 90A14, 60F15
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Preprint 299.
J. Kinnunen and O. Martio:
Nonlinear potential theory on metric spaces,
2001, 23 pp.,
AMS Classification: 46E35, 31C35
Preprint 298.
I. Holopainen, N. Shanmugalingam, and J.T. Tyson:
On the conformal Martin boundary of domains in metric spaces,
2001, 23 pp.,
AMS Classification: Primary 31C35; Secondary 31C45, 30C65
http://www.helsinki.fi/~iholopai/boundary.ps
Preprint 297.
T. Lehtonen and E. Nummelin:
Large deviations for sectorial economies,
2001, 27 pp.,
AMS Classification: 90A14, 60F15
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Preprint 296.
V. Hakulinen:
Passive advection and the degenerate elliptic operators $Mn$,
2001, 59 pp.,
AMS classification: Primary 35J70, 35K65; Secondary 35Q35, 76F25
Preprint 295.
I. Holopainen and N. Shanmugalingam:
Singular functions on metric measure spaces,
2001, 21 pp.,
AMS Classification: Primary 31C45; Secondary 30C65
http://www.helsinki.fi/~iholopai/green11.ps
Preprint 294.
Yu. Kozachenko, T. Sottinen and O. Vasylyk:
Path space large deviations of a large buffer with Gaussian input traffic,
2001, 12 pp.,
AMS Classification: Primary 60K25; Secondary 60F10, 60G15
Preprint 293.
O. Martio and V. Ryazanov:
One-point compactification of generalized spaces,
2001, 4 pp.,
AMS Classification: Primary 57N65; Secondary 57M40, 55N15
Preprint 292.
Tomi J. Laakso:
Tangent cones of certain spaces admitting Poincaré inequality,
2001, 10 pp., AMS Classification: Primary 28A80, secondary 46E35, 30C65, 28A75
Preprint 291.
P. Harjulehto:
Maximal inequality in $(s,m)$-uniform domains,
2001, 14 pp.,
AMS Classification: 46E35
Preprint 290.
I. Holopainen:
Asymptotic Dirichlet problem for the $p$-Laplacian on Cartan-Hadamard manifolds,
2001, 9 pp., AMS Classification: Primary 58J60; Secondary 53C20, 31C12
http://www.helsinki.fi/~iholopai/dirprob.ps
Preprint 289.
J. Väisälä:
Isometric approximation property of unbounded sets,
2001, 13 pp.,
AMS Classification: 46C05, 460, 30C65
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Preprint 288.
O. Martio, V. Ryazanov, U. Srebro and E. Yakubov:
BMO-quasiconformal mappings and $Q$-homeomorphisms in ${\Bbb R}^n$,
2001, 23 pp.,
AMS Classification: Primary 20C65; Secondary 30C75
Preprint 287.
H. Nyrhinen:
Large deviations and the Gärtner-Ellis theorem for the sequences of random variables,
2001, 14 pp.,
AMS Classification: 60F10
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Preprint 286.
S. Ponnusamy and V. Singh:
Criteria for univalent, starlike and convex functions,
2001, 20 pp.,
AMS Classification: 30C45, 30C55
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Preprint 285.
R. Kaila:
On almost sure elimination of generalized quantifiers,
2001, 68 pp.,
AMS Classification: 03C13, 03C10, 03C80, 03C75, 05C80
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Preprint 284.
R. Balasubramanian, S. Ponnusamy, S. Naik and M. Vuorinen:
Elliott's identity and hypergeometric functions,
(Prprint 284, 2001, 22 pp.)
AMS Classification: 33C05, 33C75
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Preprint 283.
V. Gutlyanskii and T. Sugawa:
On Lipschitz continuity of quasiconformal mappings,
2001, 18 pp.,
AMS Classification: 30C62
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Preprint 282.
V. Gutlyanskii, O. Martio, T. Sugawa and M. Vuorinen:
On the Degenerate Beltrami Equation,
2001, 32 pp.,
AMS Classification: 30C55,60
Preprint 281.
H.--O. Tylli:
Duality of the distance to closed operator ideals,
2001, 15 pp.,
AMS Classification: 47L20, 46B28
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 280.
V.V. Petrov:
On the growth of sums of independent random variables,
2001, 7 pp.,
AMS Classification: 60F15, 60F05
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Preprint 279.
Li Gongbao and O. Martio:
Approximation and stability of Perron solutions in nonlinear potential theory,
2001, 7 pp.,
AMS Classification: 31C45, 35J70, 35J65
Preprint 278.
V.Ya. Gutlyanskii, O. Martio and M. Vuorinen:
On conformal differentiation in space,
2001, 19 pp.,
AMS Classification: 30C55,60
Preprint 277.
E. Nummelin:
Principles of stochastic equilibrium theory II: The principle of minimum entropy,
2001, 6 pp.,
AMS Classification: 90A14, 60F15
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 276.
Li Gongbao and O. Martio:
Stability and higher integrability of derivatives of solutions in higher obstacle problems,
2001, 10 pp.,
AMS Classicication: 35J65, 35B65
Preprint 275.
P. Harjulehto:
Sobolev extension domains on metric spaces of homogeneous type,
2001, 12 pp., AMS Classification: 46E35
Preprint 274.
V. Gutlyanskii, O. Martio and M. Vuorinen:
On Hölder continuity of quasiconformal maps with VMO dilatation,
2000, 12 pp.,
AMS Classification: 30C65, 30V60
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Preprint 273.
E. Nummelin:
Principles of stochastic equilibrium theory I: The law of large numbers and the principle of large deviations,
2000, 38 pp.,
AMS Classification: 90A14, 60F15
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Preprint 272.
O. Dovgoshev:
On the $N$--th root asymptotic behavior of orthonormal polynomials,
2000, 21 pp.,
AMS Classifiction: 42C05
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Preprint 271.
T. Huuskonen and J. Väisälä:
Hyers--Ulam constants of Hilbert spaces,
2000, 9 pp.,
AMS Classification: Primary 46B20; Secondary 46C05
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Preprint 270.
S. Asmuss and A. Lahtinen:
On the shape--preserving quadratic histosplines,
2000, 16 pp.,
AMS Classification: 65D07, 41A15
Preprint 269.
Z.M. Balogh, I. Holopainen and J.T. Tyson:
Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups,
2000, 23 pp., AMS Classicifation: Primary 22E30, 40A80;
Secondary 30C65, 35J60, 31C45
http://www.helsinki.fi/~iholopai/cap11-9.ps
Preprint 268.
G. Li and H.--S. Zhou:
Multiple Solutions to $p$--Laplacian Problem with Asymptotic Nonlinearity as $u^{p-1}$ at infinity,
2000, 17 pp., AMS Classification: 35J60, 49J40
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Preprint 267.
R. Kaila:
On almost sure elimination of numerical quantifiers,
2000, 11 pp.,
AMS Classification: 03C13, 03C30, 03C80, 03C75, 05C80
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 266.
S. Shelah and J. Väänänen:
A note on extensions of infinitary logic,
2000, 10 pp.,
AMS Classification: 03C75, 03C95
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 265.
K. Dzhaparidze, P. Spreij and E. Valkeila:
Information processes in filtered experiments,
Part II: explicit representations and examples,
2000, 27 pp.,
AMS classification: 60G07, 60H30, 62B15, 94A17
Preprint 264.
K. Dzhaparidze, P. Spreij and E. Valkeila:
Information processes in filtered experiments,
Part I: general concepts,
2000, 25 pp.,
Ams classification: 60G07, 60H30, 62B15, 94A17
Preprint 263.
P. Harjulehto:
Traces and Sobolev extension domains,
2000, 14 pp., AMS Classification: 46E35
Preprint 262.
V. Derkach:
On indefinite generalized interpolation,
2000, 22 pp.,
AMS Classification: 30E05, 47A48, 47B50, 46E22
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 261.
Y. Mishura and E. Valkeila:
On arbitrage in the mixed brownian--fractional brownian market model,
2000, 14 pp.,
AMS Classification: 60G15, 91B70, 60H06
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 260.
J. Väisälä:
Isometric approximation property in euclidean spaces,
2000, 27 pp.,
AMS Classifiction:46C05, 30C65
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Preprint 259.
J. Kinnunen and V. Latvala:
Lebesgue points for Sobolev functions on metric spaces,
2000, 14 pp.,
AMS Classification: 46E65, 31C15
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 258.
Tomi J. Laakso:
Plane with $A{\infty}$--weighted metric not bilipschitz embeddable to $R^n$,
2000, 7 pp., AMS Classification: Primary 30C62, Secondary 54E40, 43A85, 28A80
Preprint 257.
O. Martio and V. Ryazanov:
Factors of Euclidean spaces and generalized manifolds,
2000, 12 pp., AMS Classification: 57N65, 57M40, 55P40
Preprint 256.
Ch. Bishop, V.Ya. Gutlyanski\v i, O. Martio and M. Vuorinen:
On conformal dilatation in space,
2000, 22 pp.,
AMS Classification: 30C55,50
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Preprint 255.
E. Nummelin:
Large deviations of random vector fields with applications to economics,
2000, 46 pp.,
AMS Classification: 90A14, 60F15
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Preprint 254.
J. Vuolle--Apiala:
On certain extensions of a rotation invariant Markov process,
2000, 10 pp.,
AMS Classification: 60J25
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Preprint 253.
A. Hohti:
An infinitary version of Sperner's lemma,
2000, 9 pp.,
AMS Classification: 57N20, 55M20, 54F45
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Preprint 252.
V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. Snoo:
Generalized resolvents of symmetric operators and admissibility,
2000, 51 pp.,
AMS Classification: 47A10, 47A57, 47B25, 47A55, 47B15
The [excerpt] macro is a standalone macro and it cannot be used inline. Click on this message for details.
Preprint 251.
P. Tukia and X. Wang:
Discreteness of subgroups of $SL(2,{\rm C})$ containing elliptic elements,
2000, 5 pp.,
AMS Classification: 30F40, 20H10
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Preprint 250.
D.E. Edmunds and R. Hurri--Syrjänen:
Sobolev inequalities of exponential type,
2000, 30 pp.,
AMS Classification: 46E35, 46E30, 26D10
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Preprint 249.
J. Taskinen:
On the continuity of the Bergman and Szegö projections,
1999, 17 pp.,
AMS Classification: Primary 46E10, Secondary 42A50, 46A13, 46E15, 30H05
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Preprint 248.
E.A. Karatsuba:
On the asymptotic representation of the Euler gamma function by Ramanujan,
1999, 21 pp,
AMS Classification: 33B15, 41A10, 42A16
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Preprint 247.
P. Alestalo, D.A. Trotsenko and J. Väisälä:
Isometric approximation,
1999, 22 pp.,
AMS Classification:
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Preprint 246.
I. Holopainen and P. Koskela:
Volume growth and parabolicity,
1999, 12 pp., AMS Classification: 58G30, 53C20, 31C12
http://www.helsinki.fi/~iholopai/p-para.ps
Preprint 245.
I. Holopainen:
Harmonic functions and volume growth of fingerless ends,
1999, 13 pp., AMS Classification: 58G30, 53C20, 31C12
http://www.helsinki.fi/~iholopai/finger.ps
Preprint 244.
S. Makhmutov:
$\alpha$-normal functions and Yosida functions,
1999, 9 pp.,
AMS Classification: Primary 30D35; Secondary 30D50, 30D45
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Preprint 243.
V.L. Oleinik:
Tight-binding approximation on the lemniscate,
1999, 13 pp.,
AMS Classification: 47B31, 39A11, 30C10, 39A70
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Preprint 242.
S. Makhmutov and M. Tjani:
Composition operators on some Möbius invariant Banach spaces,
1999, 24 pp.,
AMS Classification: Primary 47B38; Secondary 30D45, 30D50
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Preprint 241.
R. Kaila:
Zero--one laws for sparse random structures with generalized quantifiers,
1999, 17 pp.,
AMS Classification: 03C13, 03C80, 05C80
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Preprint 240.
J. Heinonen and S. Rickman:
Geometric branched covers between generalized manifolds,
1999, 53 pp., AMS Classification: 57M12
Preprint 239.
H. Junnila:
Embeddings of weakly compact sets and $*$-paired Banach spaces,
1999, 14 pp., AMS Classification: 46B20. 46E15, 54C35, 54D30
Preprint 238.
H. Hedenmalm and E. Saksman:
Carleson's convergence theorem for Dirichlet series,
1999, 21 pp.,
AMS Classification: 42A20 (42C99, 46E20, 11K99)
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Preprint 237.
H. Nyrhinen:
Finite and infinite time ruin probabilities in a stochastic economic environment,
1999, 22 pp.,
AMS Classification: Primary 60G40, Secondary 60F10
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Preprint 236.
P. Järvi:
On the zeros and growth of quasiregular mappings,
1999, 14 pp.,
AMS Classification: 30C65
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Preprint 235.
R. Kaila:
Convergence laws for very sparse random structures with generalized quantifiers,
1999, 24 pp.,
AMS Classification: 03C13, 03C80, 03C75, 03C10, 05C80
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Preprint 234.
A. Hohti:
Locales, the Locally Fine Construction and Formal Spaces,
1999, 17 pp.,
AMS Classification 54B10, 54E15
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Preprint 233.
A. Hohti, M. Hu\v sek, J. Pelant:
The Locally Fine Coreflection and Normal Covers in the Products of Partition-complete Spaces,
1999, 15 pp.,
AMS Classification: 54B10, 54E15
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Preprint 232.
R. Kaila:
On the number of extensions on random structures,
1999, 22 pp.,
AMS Classification: 03C13, 05C80
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Preprint 231.
U. Srebro and E. Yakubov:
On folding solutions of the Beltrami equation,
1999, 8 pp.,
AMS Classification: 30C62
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Preprint 230.
V.Ya. Gutlyanski\v i, O. Martio and M. Vuorinen:
On weak Lipschitz condition for quasiconformal maps,
1999, 14 pp.,
AMS Classification: 30C55,60
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Preprint 229.
E. Saksman:
The local mapping properties of the Hilbert transform,
1999, 26 pp.,
AMS Classification: Primary 44A15, 30E99, Secondary 30D55, 45E99
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Preprint 228.
T. Sottinen:
Fractional Brownian motion, random walks and binary market models,
1999, 10 pp., AMS Classification: 60F17, 60G15, 90A09
Preprint 227.
A. Koponen and K. Luosto:
Definability of group theoretic notions,
1999, 18 pp., AMS Classification: 03C13, 03C20, 20A15
Preprint 213.
Tomi Laakso:
Lipschitz mappings with no bilipschitz tangents in spaces with decent calculus,
1999, 4 pp.
Preprint 210.
J. Luukkainen:
Topologically, quasiconformally or Lipschitz locally flat approximation of embeddings,
1999, 36 pp., AMS Classification: 57N35, 30C65
Preprint 202.
L. Hella and J. Nurmonen:
Vectorization hierarchies of some graph quantifiers,
1998, 21 pp., AMS Classification: 03C13, 03C80
Preprint 201.
Y. Mishura and E. Valkeila:
An isometric approach to stochastic integrals,
1998, 15 pp., AMS Classification: 60H05, 60G15,60J65
Preprint 199.
I. Holopainen:
A sharp $L^q$-Liouville theorem for $p$-harmonic functions,
1998, 14 pp., AMS Classification: 58G30, 53C20, 31C12
http://www.helsinki.fi/~iholopai/lqli.ps
Preprint 198.
J. Luukkainen:
The density topology is maximally resolvable,
1998, 2 pp., AMS Classification: 54A25, 28A05
Preprint 197.
A.A. Gushchin and E. Valkeila:
On statistical experiments converging to exponential limits,
1998, 18 pp., AMS Classification: 62B15, 62A99
Preprint 193.
S. Illman and M. Kankaanrinta:
Some basic results for real analytic proper $G$-manifolds,
1998, 14 pp., AMS Classification: 57S20, 58A07
Preprint 192.
S. Illman and M. Kankaanrinta:
A new topology for the set ${\rm C}^{\infty,G}(M,N)$ of $G$-equivariant smooth maps,
1998, 28 pp., AMS Classification: 57S20, 58Sxx, 58D10
Preprint 186.
A. Novikov and E. Valkeila:
On some maximal inequalities for fractional Brownian motions,
1998, 9 pp, AMS Classification: 60G15, 60G40, 60H99
Preprint 185.
V. Ryazanov and M. Vuorinen:
On Belinskii conformality in a prescribed set of points,
1998, 12 pp., AMS Classification: 30C62
Preprint 182.
A. Dow, H. Junnila and J. Pelant:
More on weak covering properties of weak topologies,
1998, 19 pp., AMS Classification: 54C35, 46B20, 54E20, 54D30
Preprint 180.
T.J. Laakso :
Ahlfors $Q$--regular spaces with arbitrary $Q$ admitting weak Poincaré inequality ,
1998, 7 pp., AMS Classification: 46E35, 28A75, 30C65
Preprint 178.
J. Bonet and J. Taskinen :
The subspace problem for weighted inductive limits revisited,
1998, 10 pp., AMS Classification: 46E10, 46A04/08/13, 46M40, 30H05, 32A99
Preprint 177.
K. Peltonen :
An elementary point of view to Eliashberg's classification of contact structures on $S^3$,
1998, 14 pp., AMS Classification: 53C15, 55R55, 57M12, 57M25, 57R15
Preprint 175.
O. Martio, V.M. Miklyukov and M. Vuorinen :
Critical points of $A$--solutions of quasilinear elliptic equations ,
1998, 17 pp., AMS Classification: 35J60
Preprint 174.
A. Yu. Solynin and M. Vuorinen :
Estimates for the hyperbolic metric of the punctured plane and applications ,
1997, 25 pp., AMS Classification: 30C62, 33C05, 26D15, 11F99
Preprint 171.
J. Bricmont, A. Kupiainen and J. Taskinen :
Stability of Cahn-Hilliard fronts,
1997, 28 pp., AMS Classification: 35B40, 35K55
Preprint 169.
K. Luosto:
Ramsey theory is needed for solving definability problems of generalized quantifiers,
1997, 16 pp., AMS Classification: 03C80; 05D10
Preprint 168.
S. Ponnusamy and F. R\o nning:
Integral transforms of functions with the derivative in a halfplane,
1997, 10 pp., AMS Classification: 30C45; 33C05
Preprint 167.
J. Luukkainen :
Lipschitz and quasiconformal approximation of homeomorphism pairs,
1997, 35 pp., AMS Classification: 57N55; 30C65, 57R12
Preprint 159.
A. Halko and S. Shelah :
On strong measure zero subsets of $^{\kappa}2$ ,
1997, 10 pp., AMS Classification: 03E15, 04A15
Preprint 150.
J.M. Turull Torres :
A semantic characterization of relational machines and the effects of homogeneity ,
1997, 21 pp., AMS Classification: 68P15, 03C13, 03D10
Preprint 148.
I. Holopainen :
Volume growth, Green's functions, and parabolicity of ends,
1997, 23 pp., AMS Classification: 58G30, 53C20, 31C12
Preprint 147.
S. Shelah and P. Väisänen :
On the number of $L{\infty \omega1}$-equivalent, non-isomorphic models ,
1997, 37 pp., AMS Classification: Primary 03C55, Secondary 03C75, 03E05
Preprint 146.
J.M. Turull Torres :
Untyped queries, untyped reflective machines and conditional quantifiers ,
1997, 29 pp., AMS Classification: Primary 68P15, 03C13, Secondary 03C75, 03D10
Preprint 145.
M. Kankaanrinta :
Equivariant real analytic approximations ,
1997, 15 pp., AMS Classification: 57S20
Preprint 134.
G. Arone and M. Kankaanrinta :
A Functorial Model For Iterated Snaith Splitting With Applications To Calculus Of Functors ,
1996, 33 pp., AMS Classification: 55P99
Preprint 133.
I. Norros, E. Valkeila and J. Virtamo :
An Elementary Approach To A Girsanov Formula And Other Analytical Results On Fractional Brownian Motions ,
1996, 16 pp., AMS Classification: 60G15, 60G30, 62M09
Preprint 130.
O. Martio, V. Ryazanov, M. Vuorinen :
$BMO$ And Injectivity Of Space Quasiregular Mappings ,
1996, 16 pp., AMS Classification: Primary 30C65; Secondary 30C75
Preprint 128.
L. Grafakos and J. Kinnunen :
Sharp Inequalities For Maximal Functions Associated To General Measures ,
1996, 9 pp., AMS Classification: 42B25
Preprint 126.
L. Hella and H. Imhof :
Enhancing Fixed Point Logic With Cardinality Quantifiers ,
1996, 17 pp., AMS Classification: 03C13, 03C80
Preprint 125.
K. Luosto :
Hierarchies Of Monadic Generalized Quantifiers ,
1996, 24 pp., AMS Classification: 03C80; 03C13, 05D10
Preprint 123.
O. Martio, V.M. Miklyukov, M. Vuorinen :
Morrey's Lemma On Riemannian Manifolds ,
1996, 23 pp., AMS Classification: 26B35, 58C05, 58C07
Preprint 122.
V. Ya. Gutlyanski\v i, O. Martio, V.I. Ryazanov, M. Vuorinen :
On Local Injectivity And Asymptotic Linearity Of Quasiresgular Mappings ,
1996, 29 pp., AMS Classification: 30C65, 30C75
Preprint 121.
J. Taskinen :
Compact Composition Operators On General Weighted Spaces ,
1996, 14 pp., AMS Classification: 47B38, 47B07, 47B10, 30H05
Preprint 120.
J. Luukkainen and E. Saksman :
Every Complete Doubling Metric Space Carries A Doubling Measure ,
1996, 4 pp., AMS Classification: 28A12; 54F45
Preprint 118.
S.-L. Qiu and M. Vuorinen :
Duplication Inequalities for the Ratios of Hypergeometric Functions ,
1996, 21 pp., AMS Classification: 33C05, 30C62; 11F99, 26D15
Preprint 116.
S.-L. Qiu and M. Vuorinen :
Landen Inequalities for Hypergeometric Functions ,
1996, 22 pp., AMS Classification: 33C05, 33B15; 26D05
Preprint 115.
K. Dzhaparidze, P. Spreij and E. Valkeila :
On Hellinger Processes for Parametric Families of Experiments ,
1996, 18 pp., AMS Classification: 60A10,62E10
Preprint 112.
Juha Nurmonen :
Counting modulo quantifiers on finite structures ,
1996, 24 pp., AMS Classification: 03C13,03C80
Preprint 107.
A.V. Melnikov and E. Valkeila :
A New Look on the Method of Stochastic Approximation ,
1996, 37 pp., AMS classification: 62L20, 60H30
Preprint 105.
V.Ya. Gutlyanski\v i, O. Martio, V.I. Ryazanov, M. Vuorinen:
On Convergence Theorems for Space Quasiregular Mappings,
1996, 19 pp., AMS classification: 30C55,60
Preprint 103.
S. Ponnusamy and M. Vuorinen:
Univalence and Convexity Properties for Confluent Hypergeometric Functions,
1996, 20 pp., AMS classification: 30C45, 33A30
Preprint 101.
Jouko Väänänen:
Unary Quantifiers on Finite Models,
1996, 25 pp., AMS classification: 03C80, 03C13