Research Groups
Mathematics at Åbo Akademi University is actively engaged in high level research in functional analysis, stochastics, and applied mathematics.
Functional Analysis
The two main themes in the functional analysis group are the study of the structure of function spaces and their operators, and mathematical systems and control theory.
Stochastics and Mathematical Physics
The stochastics group is concerned with random models on lattices and the development of Markov process theory, in particular diffusions, Lévy processes, Markov chains and optimal stopping.
Personnel
Christer Glader, University Lecturer in Mathematics, Docent
Research profile and publications
Research interests:
My field of interest is approximation theory in the complex domain, particularly constructive methods for approximation and interpolation by finite Blaschke products.
Antti Haimi, Senior University Lecturer in Mathematics
Research profile and publications
Research interests:
My research lies at the intersection of complex analysis, time-frequency analysis and probability theory. Currently, I particularly like studying random point configurations that appear in these areas (such as zeros of random functions). I am also interested in applications in signal analysis.
Alex Karrila, Senior University Lecturer in Mathematics, on leave (Postdoctoral Researcher, Academy of Finland)
Research profile and publications
Research interests:
My research interests lie in probability theory and mathematical (statistical) physics. The most important line of study concerns discrete random models on lattices, as well as the continuous models that (conjecturally) describe the discrete models on fine-mesh lattices at criticality. A first example is the random walk on the n-dimensional square lattice delta*Z^n with mesh size delta, which at the critical rate I(delta) of steps converges to the Brownian motion as the mesh size delta shrinks to zero.
Mikael Kurula, Head of Subject, Senior University Lecturer in Mathematics, Docent in Applied Mathematics, homepage
Reseach profile and publications
Research interests:
I research systems and control theory, mostly in the context of infinite-dimensional linear systems described by partial differential equations. At the time being, I am particularly interested in model-predictive control of passive boundary control/boundary observation systems.
István Prause, Professor in Mathematics, homepage
Research profile and publikations
Research interests:
I have research interests in complex analysis, quasiconformal methods, calculus of variations and in statistical mechanics. My current research is focused around limit shape phenomena. Large scale structures of many random systems develop a continuous deterministic limit. This is akin to formation of crystals, on a macroscopic scale a smooth and faceted shape arises from rough microscopic randomness.
Researchers
Mattias A. Eriksson, Doctoral Student
Göran Högnäs, Professor Emeritus, Docent
Brita Jung, University Lecturer
Nikolai Kuchumov, Postdoctoral Researcher
Mikael Lindström, Professor Emeritus
Andreas Lundell, Docent in Applied Mathematics
Paavo Salminen, Professor Emeritus
Handbook of Brownian Motion – Facts and Formulae
By following this link you find a complete list of relevant changes/corrections made in the second edition of Handbook of Brownian Motion – Facts and Formulae, published in the year 2002 by Birkhäuser Verlag. These are incorporated into the corrected reprint of the second edition published in the year 2015. Any comments/questions can be addressed to Paavo Salminen (e-mail: phsalmin (at) abo.fi) and/or Andrei Borodin (e-mail: borodin (at) pdmi.ras.ru).
Olof Staffans, Professor Emeritus, homepage
Tapio Westerlund, Professor Emeritus, Docent in Mathematics with Engineering Applications, homepage
Tuomas Virtanen, Doctoral Student