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Note: The following list contains the completed doctoral theses of the whole Doctoral Programme in Mathematics and its Applications (not only the theses completed by students funded by the doctoral student positions of the Ministry of Education and Culture).

Doctoral theses 2013

Doctoral theses 2012

Doctoral theses 2011

Doctoral theses 2010

  • Aalto, Daniel: Boundedness of maximal operators and oscillation of functions in metric measure spaces, Helsinki University of Technology, Institute of Mathematics Research Reports A585, 2010, (TKK; 2010)
  • Julin, Vesa: Existence, uniqueness and qualitative properties of absolute minimizers. Reports of the Department of Mathematics and Statistics 127, University of Jyväskylä, 2010 (JY; 2010)
  • Kurula, Mikael: Towards Input/Output-Free Modelling of Linear Infinite-Dimensional Systems in Continuous Time (ÅA; 2010)
  • Piipponen, Samuli: Kinematic analysis of mechanisms using algebraic geometry, Publications of the University of Eastern Finland, Dissertations in Forestry and Natural Sciences vol. 9, 2010 (JoY; 2010)
  • Qi, Xiaoguang: Studies on value sharing for derivatives and difference operators of meromorphic functions. (JoY; 2010)
  • Ripatti, Tuula: Local dimensions of intersection measures: similarities, linear maps and continuously differentiable functions, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 156, 2010 (OY; 2010)
  • Ronkainen, Onni: Meromorphic solutions of difference Painleve equations, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 155, 2010 (JoY; 2010)
  • Rytty, Miikka: Connected transversals to nilpotent subgroups and applications to the theory of loops (OY; 2010)
  • Siljander, Juhana: Regularity for degenerate nonlinear parabolic partial differential equations, Helsinki University of Technology, Institute of Mathematics Research Reports A591, 2010, (TKK; 2010)
  • Tähtinen, Vesa: On the geometry of infinite-dimensional Grassmannian manifolds and gauge theory (HY; 2010)
  • Törneblom, Eljas: Luonnollisten lukujen joukon määriteltävyys funktioalgebroissa, (HY; 2010)
  • Vedenjuoksu, Tero: The Stone-Cech compactification of groups and semigroups. Oulu University Press 2010 (OY; 2010)
  • Vilppolainen, Markku: Recursive set constructions and iterated function systems: separation conditions and dimension. Reports of the Department of Mathematics and Statistics 126, University of Jyväskylä, 2010 (JY; 2010)
  • Yang, Congli: Studies on Phi-Bloch functions and different type operators between Q_K spaces, (JoY; 2010)
  • Zhou, Yuan: Hajlasz-Sobolev extension and imbedding. Reports of the Department of Mathematics and Statistics 125, University of Jyväskylä, 2010 (JY; 2010)

Doctoral theses 2009

  • Arponen, Heikki: Passive vector turbulence (HY; 2009)
  • Feragen, Aasa: Topological stability through tame retractions, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 154, 2009 (HY; 2009)
  • Fredman, Tom: Boundary identification in the domain of a parabolic partial differential equation (ÅA; 2009)
  • Joensuu, Jani: On Orlicz-Sobolev capacities (HY, 2009)
  • Jurvanen, Henna: Studies in non-Archimedean complex analysis, Report Series no. 15, University of Joensuu, Department of Mathematics and Physics, 2009 (JoY; 2009)
  • Kemppainen, Antti: On random planar curves and their scaling limits (HY; 2009)
  • Klen, Riku: On hyperbolic type metrics, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 152, 2009 (TY; 2009)
  • Liu, Kai: Studies on applications of Nevanlinna theory in difference polynomials, Report Series no. 16, University of Joensuu, Department of Mathematics and Physics, 2009 (JoY; 2009)
  • Rajala, Tapio: Porosity and dimension of sets and measures, Reports of the Department of Mathematics and Statistics 119, University of Jyväskylä, 2009 (JY; 2009)
  • Vähäkangas, Antti: Boundedness of weakly singular integral operators on domains, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 153, 2009 (HY; 2009)
  • Zurcher, Thomas: Regularity of Sobolev-Lorentz mappings on null sets, Reports of the Department of Mathematics and Statistics 122, University of Jyväskylä, 2009 (JY; 2009)

Doctoral theses 2008

  • Chousionis, Vasileios: Boundedness and convergence of singular integrals on fractal type sets (HY; 2008)
  • Kangaslampi, Riikka: Uniformly quasiregular mappings on elliptic Riemanninan manifolds, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 151, 2008 (TKK; 2008)
  • Kauppi, Jukka: Irregularity on normed and function algebras, Oulu University Press (OY; 2008)
  • Korte, Riikka: Geometric properties of metric measure spaces and Sobolev-type inequalities, Helsinki University of Technology, Institute of Mathematics Research Reports A540, 2008, (TKK; 2008)
  • Lehrbäck, Juha: Weighted Hardy inequalities and the boundary size, Reports of the Department of Mathematics and Statistics 116, University of Jyväskylä, 2008 (JY; 2008)
  • Luiro, Hannes: Regularity properties of maximal operators, Reports of the Department of Mathematics and Statistics 114, University of Jyväskylä, 2008 (JY; 2008)
  • Lukkari, Teemu: Nonlinear potential theory of elliptic equations with nonstandard growth, Helsinki University of Technology, Institute of Mathematics Research Reports A541, 2008, (TKK; 2008)
  • Maasalo, Outi Elina: Self-improving phenomena in the calculus of variations on metric spaces, Helsinki University of Technology, Institute of Mathematics Research Reports A543, 2008, (TKK; 2008)
  • Mäkäläinen, Timo: Nonlinear potential theory on metric spaces, Reports of the Department of Mathematics and Statistics 113, University of Jyväskylä, 2008 (JY; 2008)
  • Talponen, Jarno: Convex-transitive Banach spaces and their hyperplanes, (HY, 2008)
  • Varpanen, Harri: Gradient estimates and a failure of the mean value principle for $p$-harmonic functions, Reports of the Department of Mathematics and Statistics 112, University of Jyväskylä, 2008 (JY; 2008)
  • Vähäkangas, Aleksi: Dirichlet problem at infinity for p-harmonic functions on negatively curved spaces (HY; 2008)
  • Xu Wen: Studies on Bloch-type and $Q_K$ spaces, Report Series no. 13, University of Joensuu, Department of Mathematics and Physics, 2008 (JoY, 2008)
  • Zhang, Jilong: Studies on shared values of meromorphic functions, Report Series no. 14, University of Joensuu, Department of Mathematics and Physics, 2008 (JoY; 2008)

Doctoral theses 2007

  • Kotilainen, Marko: Studies on composition operators and function spaces, University of Joensuu, Department of Physics and Mathematics, Report Series No. 11, 2007 (JoY; 2007)
  • Tuomo Kuusi: Harnack estimates for supersolutions to a nonlinear degenerate parabolic equation, Helsinki University of Technology, Institute of Mathematics Research Reports A532, 2007, (TKK; 2007)
  • Leikas, Mika: Projected measures on manifolds and incomplete projection families, Reports of the Department of Mathematics and Statistics 109, University of Jyväskylä, 2007 (JY; 2007)
  • Marola, Niko: Regularity and convergence results in the calculus of variations on metric spaces, Helsinki University of Technology, Institute of Mathematics Research Reports A518, 2007, (TKK; 2007)
  • Nieminen, Pekka: Composition operators, Aleksandrov measures and value distribution of analytic maps in the unit disc (HY; 2007)
  • Oinas, Janne: The degree theory and the index of a critical point for mappings of the type (S+)_, Acta Universitas Ouluensis A488, 2007, (OY; 2007)
  • Mikko Parviainen: Global higher integrability for nonlinear parabolic partial differential equations in nonsmooth domains, Helsinki University of Technology, Institute of Mathematics Research Reports A529, 2007, (TKK; 2007)
  • Prause, Istvan: Distortion of dimension under quasiconformal mappings, Reports of the Department of Mathematics, University of Helsinki 462, 2007 (HY; 2007)
  • Takkinen, Juhani: Mappings of finite distortion: Formation of cusps, Reports of the Department of Mathematics and Statistics 110, University of Jyväskylä, 2007 (JY; 2007)
  • Tolonen, Tapani: On different ways of constructing relevant invariant measures, Reports of the Department of Mathematics and Statistics 106, University of Jyväskylä, 2007 (JY; 2007)

Doctoral theses 2006

  • de Simone, Emiliano: Renormalization methods in KAM theory (HY; 2006)
  • Heikkinen, Toni: Self-improving properties of generalized Orlicz-Poincare inequalities, Reports of the Department of Mathematics and Statistics 105, University of Jyväskylä, 2006 (JY; 2006)
  • Hukkanen, Toni: Renormalized solutions on quasi open sets with nonhomogeneous boundary values, Reports of the Department of Mathematics and Statistics 103, University of Jyväskylä, 2006 (JY; 2006)
  • Hänninen, Teemu: Aspects of atomic decompositions and Bergman projections (HY; 2006)
  • Kytölä, Kalle: Conformal field theory methods for variants of Schramm-Loewner evolutions (HY, 2006)
  • Laitila, Jussi: Composition operators on vector-valued BMOA and related functions spaces (HY; 2006)
  • Palmberg, Niklas: Analytic function spaces: properties of operators and duality (ÅA, 2006)
  • Ramula, Ville: Asymptotic behaviour of a semilinear diffusion equation, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 148, 2006 (JoY; 2006)
  • Stenlund, Mikko: Homoclinic splitting without trees (HY; 2006)
  • Yang, Ronghua: Studies on value distribution of solutions of complex linear differential equations, 2006 (JoY; 2006)

Doctoral theses 2005

  • Glader, Christer: Constructive methods for rational interpolation and uniform approximation in the unit disc (ÅA; 2005)
  • Goebel, Roman: The group of orbit preserving $G$-homeomorphisms of an equivariant simplex for $G$ a Lie group, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 144, 2005 (HY; 2005)
  • Hahlomaa, Immo: Menger curvature and Lipschitz parametrizations in metric spaces, Reports of the Department of Mathematics and Statistics 98, University of Jyväskylä, 2005 (JY; 2005)
  • Korppi, Tuomas: Equivariant triangulations of differentiable and real-analytic manifolds with a properly discontinuous action, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 141, 2005 (HY; 2005)
  • Li, Xiaonan: On hyperbolic $Q$-classes (JoY; 2005)
  • Linden, Henri: Quasihyperbolic geodesics and uniformity in elementary domains, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 146, 2005 (HY; 2005)
  • Nieminen, Tomi: Global integrability of the derivative of a quasiconformal mapping, Preprint 312, Dept. Math. Stat., Univ. Jyväskylä, 2005, (JY; 2005)
  • Pankka, Pekka: Global behviour of quasiregular mappings and mappings of finite distortion under parabolic assumptions on spaces (HY; 2005)
  • Rasila, Antti: Multiplicity and boundary behaviour of quasiregular maps, Reports of the Department of Mathematics, University of Helsinki 413, 2005 (HY; 2005)
  • Ravaioli, Elena: Approximation of $G$-equivariant maps in the very-strong-weak topology , Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 147, 2005 (HY; 2005)
  • Salmi, Pekka: Uniform points in the LUC-compactification with applications to certain Banach algebras , (OY; 2005)
  • Suomala, Ville: Local distribution of fractal sets and measures , Reports in Mathematics Preprint 408, University of Helsinki, 2005 (HY; 2005)

Doctoral theses 2003 - 2004

  • Heikkala, Ville: Inequalities for conformal capacity, modulus and conformal invariants, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 132, 2002 (HY; 2003)
  • Hytönen, Tuomas: Translation-invariant operators on spaces of vector-valued functions, Helsinki University of Technology, Institute of Mathematics Research Reports A458, 2003, (TKK; 2003)
  • Hästö, Peter: The apollonian metric and bilipschitz mappings, Reports of the Department of Mathematics, University of Helsinki 341, 2003 (HY; 2003)
  • Kauko, Virpi: Visible and nonexistent trees of Mandelbrot sets, Reports of the Department of Mathematics and Statistics 86, University of Jyväskylä, 2003, (JY; 2003)
  • Korvola, Timo: Stability of Cahn-Hilliard fronts in three dimensions, (HY; 2003)
  • Käenmäki, Antti: Iterated function systems: Natural measure and local structure, Reports of the Department of Mathematics and Statistics 93, University of Jyväskylä, 2003 (JY; 2003)
  • Pere, Mikko: The eigenvalue problem of the $p$-laplacian in metric spaces, Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 136 (HY; 2004)
  • Rajala, Kai: Mappings of finite distortion: removable singularities, Reports of the Department of Mathematics and Statistics 91, University of Jyväskylä, 2003 (JY; 2003)
  • Salin, Timo: Quenching and blow-up problems for reaction-diffusion problems , Helsinki University of Technology, Institute of Mathematics Research Reports A466, 2004 (TKK; 2004)
  • Salo, Mikko: Inverse problems for nonsmooth first order perturbations of the Laplacian , Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 133, 2004 (HY; 2004)
  • Silvennoinen, Heli: Meromorphic solutions of some composite functional equations (JoY; 2003)
  • Tuominen, Heli: Orlicz-Sobolev spaces on metric measure spaces , Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 134, 2004 (JY; 2004)
  • Vehviläinen, Iivo: Applying mathematical finance tools to the competitive Nordic electricity market , Helsinki University of Technology, Institute of Mathematics Research Reports A475, 2004 (TKK; 2004)
  • Vogeler, Roger: Combinatorics on curves on Hurwitz surfaces , Annales Academiae Scientiarum Fennicae Mathematica Dissertationes 137, 2004 (HY; 2004)

Abbreviations: HY = University of Helsinki, UEF = University of Eastern Finland, JoY = University of Joensuu, JY = University of Jyväskylä, OY = University of Oulu, TY = University of Turku (joined the graduate school in 2007), ÅA = Åbo Akademi University, TKK = Helsinki University of Technology, A = Aalto University

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