This page contains a list of the most important publications of the members of the CoE in 2001-2005.
Kupiainen
J. Bricmont, A. Kupiainen and R. Lefevere (2002).
Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics
Commun.Math.Phys. 230: 87-132
F. Bonetto, A. Kupiainen and J. Lebowitz (2005).
Absolute continuity of projected SRB measures of coupled Arnold cat map lattices
Ergodic Theory and Dynamical Systems 25: 59-88
M. Chaves, K. Gawedzki, P. Horvai, A. Kupiainen and M. Vergassola (2003).
Lagrangian dispersion in Gaussian self-similar ensembles
Journal of Statistical Physics 113: 643-692
T. Korvola, A. Kupiainen and J.Taskinen (2005).
Anomalous Scaling of 3d Cahn-Hilliard Fronts
Comm. Pure Appl. Math. 58: 1077-1115
J. Bricmont, A. Kupiainen and A. Schenkel (2001).
Renormalization Group and the Melnikov Problem for PDE's
Commun. Math Phys. 221: 101-140
J. Bricmont, A. Kupiainen and R. Lefevere (2001).
Renormalizing the Renormalization Group Pathologies
Phys. Rep. 348: 5-31
J. Bricmont, A. Kupiainen and R. Lefevere (2001).
Ergodicity of the 2D Navier-Stokes equations with random forcing
Commun. Math Phys. 224: 65-81
A. Kupiainen (2003).
Non Deterministic Dynamics and Turbulent Transport
Annales Henri Poincare, Vol. 4 Suppl. 2, S713-S726
K. Gawedzki and A. Kupiainen (1995).
Anomalous scaling of the passive scalar
Phys.Rev.Lett.75: 3834-3837
J. Bricmont, A. Kupiainen and G.Lin (1994).
Renormalization group and asymptotics of solutions of nonlinear parabolic equations
Comm. Pure Appl. Math. 47: 893-922
Astala
Astala, K. and L. Päivärinta (2006).
Calderon's inverse conductivity problem in the plane
Ann. of Math., 163 (2006): 265-299.
Astala, K., Lassas, M. and L. Päivärinta (2005).
Calderon's inverse problem for anisotropic conductivity in the plane
Comm. Partial Differential Equations 30: 207-224
Astala, K., Iwaniec, T. and E. Saksman (2001).
Beltrami operators
Duke Math. Journal 107: 27-56
Astala, K. and V. Nesi (2003).
Composites and quasiconformal mappings: new optimal bounds in two dimensions
Calculus of Variations and Partial Differential Equations 18: 335-355
Astala, K., Iwaniec, T., Martin, G. and J. Onninen (2005).
Extremal Mappings of Finite Distortion
Proc. London Math. Soc. (3) 91: 3, 655-702
Astala, K. and D. Faraco (2002).
Quasiregular mappings and Young measures
Proc. Royal Soc. Edinburgh sect. A. 132: 1045-1056
Astala, K., Bonk, M. and J. Heinonen (2002).
Quasiconformal mappings with Sobolev boundary values
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 1: 687-731
Astala, K. and G. Martin (2001).
Holomorphic Motions
In: Papers on Analysis. A volume dedicated to Olli Martio on the occasion of his 60th birthday. Report. Univ. Jyväskylä 83: 27-40
Astala, K. (1994).
Area distortion of quasiconformal mappings
Acta Math. 173: 37 - 60
Astala, K. and M. Zinsmeister (1994).
Holomorphic families of quasiFuchsian groups
Ergodic Th. and Dyn. Syst. 14: 207-212
Mattila
P. Mattila (2005).
Measures with unique tangent measures in metric groups
Math. Scand. 97: 298-308
P. Mattila (2004).
Hausdorff dimension, projections, and the Fourier transform
Publ. Mat. 4: 3-48.
P. Mattila (2004).
Search for geometric criteria for removable sets of bounded analytic functions
Cubo 6: 113-132
P. Mattila (2002).
Singular integrals and rectifiability
Publ. Mat. Vol. Extra (2002): Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations (El Escorial 2000), pp. 199-208.
P. Mattila and P.V. Paramonov (2001).
On density properties of the Riesz capacities and the analytic capacity gamma+ (Russian)
Tr. Mat. Inst. Steklova 235: 143-156, translation in Proc. Steklov Inst. Math. 235: 136-149.
Y. Lin and P. Mattila (2001).
Menger curvature and C¹ regularity of fractals
Proc. Amer. Math. Soc. 129: 1755-1762.
G. David and P.Mattila (2000).
Removable sets for Lipschitz harmonic functions in the plane
Rev. Mat. Iberoamericana 16: 137-215
J. Mateu, P. Mattila, J. Orobitg and A. Nicolau (2000).
BMO for nondoubling measures
Duke Math. J. 102: 533-565
Gyllenberg
Diekmann, O., Gyllenberg, M. and Metz, J.A.J. (2003).
Steady state analysis of structured population models
Theoretical Population biology, 63: 309-338.
Diekmann, O., Gyllenberg, M., Huang, H., Kirkilionis, M., Metz, J.A.J. and Thieme, H.R. (2001).
On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory
Journal of Mathematical Biology 43: 157-189.
Gyllenberg, M. and Yi Wang (2004).
Dynamics of the periodic type-K competitive Kolmogorov systems
Journal of Differential Equations , 205: 50-76
Gyllenberg, M., Osipov, A. and Päivärinta, L (2002).
The inverse problem of age-structured population dynamics
Journal of Evolution Equations, 2: 223-239.
Gyllenberg M. and Metz, J.A.J. (2001).
On fitness in structured metapopulations
Journal of Mathematical Biology 43: 545-560.
Hanski, I. and Gyllenberg, M. (1997).
Uniting two general patterns in the distribution of species
Science 275: 397 - 400.
Gyllenberg, M., Jacobs, F.J.A. and Metz, J.A.J. (2003).
On the Concept of Attractor for Community-Dynamical Processes. II: The Case of Structured Populations
Journal of Mathematical Biology,, 47: 235-248.
Gyllenberg, M. and Meszéna, G. (2005).
On the impossibility of coexistence of infinitely many strategies
Journal of Mathematical Biology, 50: 133-160.
Gyllenberg M. and Parvinen,K. (2001).
Necessary and sufficient conditions for evolutionary suicide
Bulletin of Mathematical Biology, 63: 981-993
Gyllenberg, M., Parvinen, K., and Dieckmann, U. (2002).
Evolutionary suicide and evolution of dispersal in structured metapopulations
Journal of Mathematical Biology, 45: 79-105.
Geritz
Geritz, S. A. H., Metz, J. A. J., Kisdi, É. & Meszéna, G. (1997).
Dynamics of adaptation and evolutionary branching
Physical Review Letters 78: 2024-2027
Metz, J.A.J., R.M. Nisbet, and S.A.H. Geritz. (1992).
How should we define "fitness" for general ecological scenarios?
Trends in Ecology and Evolution 7: 198-202.
Geritz, S.A.H., E. van der Meijden, and J.A.J. Metz (1999).
Evolutionary dynamics of seed size and seedling competitive ability
Theoretical Population Biology 55: 324-343.
Geritz, S.A.H., M. Gyllenberg, F.J.A. Jacobs and K. Parvinen (2002).
Invasion dynamics and attractor inheritance
Journal of Mathematical Biology 44: 548-560.
Geritz, S.A.H. (2005).
Resident-invader dynamics and the coexistence of similar strategies
Journal of Mathematical Biology 50: 67-82.
Geritz, S.A.H. and É. Kisdi. (2000).
Adaptive dynamics in diploid sexual populations and the evolution of reproductive isolation
Proceedings of the Royal Society of London B 267: 1671-1678.
Geritz, S.A.H. and É. Kisdi (2004).
On the mechanistic underpinning of discrete-time population models with complex dynamics
Journal of Theoretical Biology 228: 261-269.
Kisdi, É. and S.A.H. Geritz (2001).
Evolutionary disarmament in interspecific competition
Proceedings of the Royal Society of London B 268: 2589-2594
Meszéna, G., É. Kisdi, U. Dieckmann, S.A.H. Geritz and J.A.J. Metz (2001).
Evolutionary optimisation models and matrix games in the unified perspective of adaptive dynamics
Selection 2: 193-210
Wang
Y. Wang and J. Jiang (2001).
The general properties of discrete-time competitive dynamical systems
J. Differential Equations 176: 470-493
Y. Wang and J. Jiang (2002).
Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems
J. Differential Equations 186: 611-632
M. Gyllenberg and Y. Wang (2004).
Dynamics of the periodic type-K competitive Kolmogorov systems
J. Differential Equations 205: 50-76
Y. Wang and J. Jiang (2001).
The convergence of a class of quasimonotone reaction-diffusion systems
J. London Math. Soc. (2) 64: 395-408
M. Gyllenberg and Y. Wang (2005).
Periodic tridiagonal systems modelling competitive cooperative ecological interactions
Discrete Contin. Dyn. Syst. 5: 289-298
Y. Wang and X.-Q. Zhao (2003).
Convergence in monotone and subhomogeneous discrete dynamical systems on product Banach spaces
Bull. London Math. Soc. 35: 681-688
Y. Wang and J. Jiang (2002).
The long-run behavior of periodic competitive Kolmogorov systems
Nonlinear Anal. Real World Applicaions 3: 471-485
Y. Wang (2002).
Convergence to periodic solutions in periodic quasimonotone reaction-diffusion systems
J. Math. Anal. Appl. 268: 25-40
M. Gyllenberg, J. Jiang and Y. Wang (2004).
The asymptotic spatial homogeneity in a class of periodic quasimonotone reaction-diffusion
Nonlinear Analysis, 59: 235-244
J. Jiang and Y. Wang (2003).
On the ?-limit set dichotomy of cooperating Kolmogorov systems
Positivity 7: 185-194
Kisdi
E. Kisdi (2002).
Dispersal: Risk spreading versus local adaptation
Am. Nat. 159:579-596
E. Kisdi (2004).
Conditional dispersal under kin competition: Extension of the Hamilton-May model to brood size-dependent dispersal
Theor. Pop. Biol. 66: 369-380
E. Kisdi and S. A. H. Geritz (1999).
Adaptive dynamics in allele space: Evolution of genetic polymorphism by small mutations in a heterogeneous environment
Evolution 53:993-1008
E. Kisdi and S. A. H. Geritz (2001).
Evolutionary disarmament in interspecific competition
Proc. R. Soc. Lond. B 268:2589-2594
S. A. H. Geritz and E. Kisdi (2004).
On the mechanistic underpinning of discrete-time population models with complex dynamics
J. theor. Biol. 228:261-269
E. Kisdi and M. Utz (2005).
Does quasi-local competition lead to pattern formation in metapopulations? An explicit resource competition model
Theor. Pop. Biol. 68: 133-145
A. Mathias and E. Kisdi (2002).
Adaptive diversification of germination strategies
Proc. R. Soc. Lond. B 269:151-156
E. Kisdi (2004).
Optimal body size, density-dependent selection gradients, and phenotypic variance under asymmetric competition
Ecology 85:1460-1467
E. Kisdi and S. Liu (2006).
Evolution of handling time can destroy the coexistence of cycling predators
J. evol. Biol. 19:49-58
E. Kisdi and S.A.H. Geritz (2003).
On the coexistence of perennial plants by the competition-colonization trade-off
Am. Nat. 161:350-354
Muratore-Ginanneschi
P. Castiglione, A. Mazzino, P. Muratore-Ginanneschi and A. Vulpiani (1999).
On the strong anomalous diffusion
Physica D 134: 75-93
P. Muratore-Ginanneschi (2003).
Path integration over closed loops and Gutzwiller's trace formula
Phys. Rep. 383: 299-397
E. Aurell and P. Muratore-Ginanneschi (2000).
Financial Friction and Multiplicative Markov Market Game
International Journal of Theoretical and Applied Finance 3: 501-510
E. Aurell and P. Muratore-Ginanneschi (2004).
Growth-Optimal Strategies with Quadratic Friction Over Finite-Time Investment Horizons
International Journal of Theoretical and Applied Finance 7: 645-657
L. Ts. Adzhemyan, N. V. Antonov, A. Mazzino, P. Muratore-Ginanneschi and A. V. Runov (2001).
Pressure and intermittency in passive vector turbulence
Europhys. Lett. 55: 801-806
E. Aurell D. Fanelli and P. Muratore-Ginanneschi (2001).
On the dynamics of a self-gravitating medium with random and non-random initial conditions
Physica D 148: 272-288
K.H. Andersen and P. Muratore-Ginanneschi (1999).
A shell model for time-correlated random advection of passive scalars
Phys. Rev. E 60: 6663-6681
E. Aurell and P. Muratore-Ginanneschi (2006).
Optimal hedging of derivatives with transaction costs
accepted for International Journal of Theoretical and Applied Finance
Saksman
K. Astala, T. Iwaniec, and E. Saksman (2001).
The Beltrami operators in plane
Duke Math. J. 107: 27-56
H. Haario, E. Saksman, and J. Tamminen (2001).
An adaptive Metropolis algorithm
Bernoulli 7: 1-20
M. Lindström, E. Saksman and H.-O, Tylli (2005).
Strictly singular and cosingular multiplications
Canad. J. Math. 57: 1249-1278
H. Hedenmalm, E. Saksman (2003).
Carleson's convergence theorem for Dirichlet series
Pacific J. Math. 208: 85-109
H. Haario, M. Laine, M. Lehtinen, E. Saksman, and J. Tamminen (2004).
Markov chain Monte Carlo methods for high dimensional inversion in remote sensing
J. R. Stat. Soc. Ser. B Stat. Methodol. 66: 591-607
H. Haario, E. Saksman, and J. Tamminen (2005).
The single component adaptive Metropolis algorithm
Comput. Statist. 20: 265-273
M. Fontes and E. Saksman (2004).
Optimal results for the two dimensional Navier-Stokes equations with lower regularity on the data
"Actes des journées mathématiques à la mémoire de Jean Leray - (Nantes, 2002)
Laurent Guillopé - Didier Robert (Éd.) Séminaires et Congrès 9, SMF, pp. 143-154."
M. Lassas, L. Päivärinta, and E. Saksman (2004).
Inverse problem for a random potential
In: Partial differential equations and inverse problems, Contemp. Math. 362, Amer. Math. Soc., pp. 277-288
P. Nieminen and E. Saksman (2004).
Boundary correspondence of Nevanlinna counting functions for self-maps of the unit disc
Trans. Amer. Math. Soc. 356: 3167-3187
M. Bonk, J. Heinonen, and E. Saksman (2004).
The quasiconformal Jacobian problem
Contemporary Mathematics 355: 77-96.
E. and M. Järvenpää
E. Järvenpää and M. Järvenpää (2001).
On the definition of SRB-measures for coupled map lattices
Comm. Math. Phys. 220: 1-12
E. Järvenpää, M. Järvenpää and M. Llorente (2004).
Local dimensions of sliced measures and stability of packing dimensions of sections of sets
Adv. Math. 183: 127-154
E. Järvenpää, M. Järvenpää and M. Leikas (2005).
(Non)regularity of projections of measures invariant under geodesic flow
Comm. Math. Phys. 254: 695-717
E. Järvenpää and M. Järvenpää (2005).
Average homogeneity and dimensions of measures
Math. Ann. 331: 557-576
E. Järvenpää and M. Järvenpää (2002).
Porous measures on R^n: local structure and dimensional properties
Proc. Amer. Math. Soc. 130: 419-426
E. Järvenpää and T. Tolonen (2005).
Relations between natural and observable measures
Nonlinearity 18: 897-912
E. Järvenpää, M. Järvenpää, A. Käenmäki and V. Suomala (2005).
Asymptotically sharp dimension estimates for k-porous sets
Math. Scand. 97: 309-318
E. Järvenpää, M. Järvenpää and P. MacManus (2003).
Visible parts and dimensions
Nonlinearity 16: 803-818
E. Järvenpää, M. Järvenpää and R. D. Mauldin (2002).
Deterministic and random aspects of porosities
Discrete Contin. Dyn. Syst. 8: 121-136
Yan
Gyllenberg, Mats and Yan, Ping (2002).
The generalized Li¨¦nard systems.
Discrete Contin. Dyn. Syst. 8 (2002), no. 4, 1043--1057.
Gyllenberg, Mats and Yan, Ping (2001).
On a conjecture by Yang.
J. Math. Anal. Appl. 264 (2001), no. 2, 687--690.
Gyllenberg, Mats, Yan, Ping, and Jiang, Jifa (2004).
The qualitative behavior of a second-order system with zero diagonal coefficient.
J. Math. Anal. Appl. 291 (2004), no. 1, 322--340.
Yan, Ping and Jiang, Jifa (2004).
Periodic solutions of general autonomous system of Li¨¦nard type.
Appl. Anal. 83 (2004), no. 7, 735--746.
Yan, Ping and Jiang, Jifa (2002).
On global asymptotic stability of second order nonlinear differential systems.
Appl. Anal. 81 (2002), no. 3, 681--703.
Yan, Ping (2001).
On the extended Hardy's inequality.
Int. J. Math. Math. Sci. 27 (2001), no. 12, 765--768.
Yan, Ping and Lin, Zhigui (2001).
Stationary structures for a weakly coupled elliptic system arising in two-predator, two-prey models.
Acta Math. Sci. Ser. B 21 (2001), no. 4, 453--459.
