Marta Tyran-Kamińska

Marta Tyran-Kamińska
Institute of Mathematics
University of Silesia
Bankowa 14
40-007 Katowice
Poland
E-mail: mtyran@us.edu.pl

PhD in Mathematics: 1999 University of Silesia
Habilitation in Mathematics: 2011 University of Silesia

Research

Research interests: Ergodic Theory, Limit theorems, Markov processes in Physics and Biology

Selected publications:

• Stability of Markov processes nonhomogeneous in time, Annales Polonici Mathematici, 71 (1999) 47-59.
• Markov semigroups and their applications (with Ryszard Rudnicki and Katarzyna Pichór), in: Dynamics of Dissipation, eds.: P. Garbaczewski, R. Olkiewicz, Lectures Notes in Physics 597, Springer-Verlag, Berlin (2002) 215-238.
• Support overlapping Markov semigroups, Bulletin Polish Acad. Sci. Math., 51 (2003) 419-438.
• An invariance principle for maps with polynomial decay of correlations, Communications in Mathematical Physics, 260 (2005) 1-15.
• Deterministic Brownian motion: The effects of perturbing a dynamical system by a chaotic semi-dynamical system (joint with Michael C. Mackey), Physics Reports, 422 (2006) 167-222.
• Temporal Behavior of the Conditional and Gibbs' Entropies (joint with Michael C. Mackey), Journal of Statistical Physics, 124 (2006) 1443-1470.
• (with M. C. Mackey), Central limit theorems for non-invertible measure preserving maps, Colloqium Mathematicum, 110 (2008), 167-191.
• (with M. C. Mackey), Central limit theorem behaviour in the skew tent map, Chaos, Solitons, and Fractals, 38 (2008), 789-805.
• (with M. C. Mackey), Dynamics and density evolution in piecewise deterministic growth processes, Annales Polonici Mathematici, 94 (2008), 111-129. pdf file
• Substochastic semigroups and densities of piecewise deterministic Markov processes, Journal of Mathematical Analysis and Applications, 357 (2009), 385-402. pdf file
• Ergodic theorems and perturbations of contraction semigroups, Studia Mathematica, 195 (2009), 147-155. pdf file
• Weak convergence to Levy stable processes in dynamical systems, Stochastics and Dynamics, 10 (2010), 263-289. pdf file
• Convergence to Levy stable processes under some weak dependence conditions, Stochastic Processes and their Applications, 120 (2010), 1629-1650. pdf file
• Functional limit theorems for linear processes in the domain of attraction of stable laws, Statistics and Probability Letters, 80 (2010), 975-981. pdf file
• (with M. C. Mackey, R. Yvinec), Molecular distributions in gene regulatory dynamics Journal of Theoretical Biology 274 (2011), 84-96. Link to: published paper arXiv e-print

Some preprints can be found at the home page of Michael C. Mackey at McGill University
Others at arXiv. Link to search results

Meetings

• Mini-symposium How mathematics illuminates biology at 6th European Congress of Mathematics Kraków, July 2-7, 2012
• Workshop on Infinite Ergodic Theory University of Surrey, UK, 28 May to 1 June 2012
• ECMTB 2011 8th European Conference on Mathematical and Theoretical Biology, and Annual Meeting of The Society for Mathematical Biology, Kraków, June 28-July 2, 2011
• Workshop on Limit Theorems Prague, August 3 - 6, 2009
• Ergodic Theory - Limit Theorems and Dimensions Workshop at the Erwin Schrödinger Institute, Vienna, December 17-21, 2007
• Workshop Deconstructing Biochemical Networks Centre de Recherche Mathematiques, Universite de Montreal, Montreal, Canada, September 24-28, 2007
• 9th Rencontres Mathematiques de Rouen Ergodic Theory and Limit Theorems Rouen, France, June 11-14, 2007
• London Mathematical Society Durham Symposium: Dynamical Systems and Statistical Mechanics University of Durham, UK, July 3-13, 2006
• International Centre for Mathematical Sciences, Workshop on Probabilistic Limit Laws for Dynamical Systems Edinburgh, UK, June 13-17, 2005

Teaching

Spring 2011/2012
Probability Theory
Dynamical Systems
Risk in Insurance

Winter 2010/2011
Probability Theory
Stochastic Processes

Winter 2009/2010
Stochastic Processes
Risk and Insurance

Spring 2007/2008
Mathematical Statistics

Winter 2007/2008
Assistant Professor at Institute of Mathematics Polish Academy of Sciences

Spring 2006/2007
Probability Theory
Computer Science I (user name and password required)