Uniwersytet Śląski w Katowicach

• Członek Senatu Uniwersytetu Śląskiego w Katowicach
• Członek Rady Naukowej Instytutu Matematyki
• Kierownik Studiów doktoranckich z zakresu matematyki

Degrees

• PhD in Mathematics, University of Silesia, 1999
• Habilitation in Mathematics, University of Silesia, 2011
• Professor in Natural Sciences, 2020

Employment

• Since 1996 at the Institute of Mathematics, University of Silesia in Katowice

Aktualny plan zajęć zgodnie z harmonogramem.

Monografie/Books

• Jérôme Losson, Michael C. Mackey, Richard Taylor, Marta Tyran-Kamińska, Density Evolution Under Delayed Dynamics. An Open Problem, Fields Institute Monograph, Springer, New York, 2020.
• Ryszard Rudnicki, Marta Tyran-Kamińska, Piecewise Deterministic Processes in Biological Models, Springer Briefs in Applied Sciences and Technology, Springer International Publishing, Cham, 2017.
• Michael C. Mackey, Moises Santillan, Marta Tyran-Kamińska, Eduardo S. Zeron, Simple Mathematical Models of Gene Regulatory Dynamics, Lecture Notes on Mathematical Modelling in the Life Sciences, Springer International Publishing, Cham, 2016.

Artykuły/Papers

• Michael C. Mackey, Marta Tyran-Kamińska, How can we describe density evolution under delayed dynamics? Chaos 31 (2021), 043114. Link to arXiv e-print
• Paweł Klimasara, Michael C. Mackey, Andrzej Tomski, Marta Tyran-Kamińska, Randomly switching evolution equations, Nonlinear Analysis: Hybrid Systems 39 (2021), 100948.  Link to arXiv e-print
• Marta Tyran-Kamińska, Transport equations and perturbations of boundary conditions, Mathematical Methods in the Applied Sciences 43 (2020), 10511-10531. Link to arXiv e-print
• Piotr Gwiżdż, Marta Tyran-Kamińska, Densities for piecewise deterministic Markov processes with boundary, Journal of Mathematical Analysis and Applications 479 (2019), no. 1, 384-425. Link to arXiv e-print
• Piotr Gwiżdż, Marta Tyran-Kamińska, Positive semigroups and perturbations of boundary conditions, Positivity 23 (2019), 921–939.
• Mateusz Falfus, Michael C. Mackey, Marta Tyran-Kamińska, The combined effects of Feller diffusion and transcriptional/translational bursting in simple gene networks, Journal of Mathematical Analysis and Applications 470 (2019) , no. 2, 931-953. Link to to arXiv e-print
• Paweł Klimasara, Marta Tyran-Kamińska, A model for random fire induced tree-grass coexistence in savannas, Mathematica Applicanda 46 (2018), no. 1, 87-96.
• Weronika Biedrzycka, Marta Tyran-Kamińska, Self-similar solutions of fragmentation equations revisited, Discrete and Continuous Dynamical Systems – Series B 23 (2018), no. 1, 13-27. Link to to arXiv e-print
• Michael C. Mackey, Marta Tyran-Kamińska, Hans-Otto Walther, Response of an oscillatory differential delay equation to a single stimulus, Journal of Mathematical Biology 74 (2017), 1139-1196. Link to arXiv e-print
• Weronika Biedrzycka, Marta Tyran-Kamińska, Existence of invariant densities for semiflows with jumps, Journal of Mathematical Analysis and Applications 435 (2016), 61-84. Link to arXiv e-print
• Michael C. Mackey, Marta Tyran-Kamińska, The limiting dynamics of a bistable molecular switch with and without noise, Journal of Mathematical Biology 73 (2016), 367-395. Link to to arXiv e-print
• Ryszard Rudnicki, Marta Tyran-Kamińska, Piecewise deterministic Markov processes in biological models, in:  Semigroup of Operators – Theory and Applications, J. Banasiak et al. (eds.), Springer Proceedings in Mathematics & Statistics 113, (2015), pp. 235-255. Link to arxiv e-print
• Michael C. Mackey, Moises Santillan, Marta Tyran-Kamińska, Eduardo S. Zeron, The utility of simple mathematical models in understanding gene regulatory dynamics, In Silico Biology 12 (2012-2014), 23-53.
• Marta Tyran-Kamińska, Diffusion and deterministic systems, Mathematical Modelling of Natural  Phenomena 9 (2014), no. 1, 32-43.
• Michael C. Mackey, Marta Tyran-Kamińska, Romain Yvinec, Dynamic behavior of stochastic gene expression models in the presence of bursting, SIAM Journal on Applied Mathematics 73 (2013), 1830-1852.
• Katarzyna Pichór, Ryszard Rudnicki, Marta Tyran-Kamińska, Stochastic semigroups and their applications to biological models, Demonstratio Mathematica 45 (2012), 463-494.
• Michael C. Mackey, Marta Tyran-Kamińska, Hans-Otto Walther, The Mathematical Legacy of Andrzej Lasota, Wiadomości Matematyczne 48 (2012), 143-156, in the special issue on the ocassion of 6th European Congress of Mathematics
• Michael C. Mackey, Marta Tyran-Kamińska, Romain Yvinec, Molecular distributions in gene regulatory dynamics, Journal of Theoretical Biology 274 (2011), 84-96.
• Marta Tyran-Kamińska, Functional limit theorems for linear processes in the domain of attraction of stable laws, Statistics and Probability Letters 80 (2010), 975-981.
• Marta Tyran-Kamińska, Weak convergence to Lévy stable processes in dynamical systems, Stochastics and Dynamics 10 (2010), 263-289.
• Marta Tyran-Kamińska, Convergence to Lévy stable processes under some weak dependence conditions, Stochastic Processes and their Applications 120 (2010), 1629-1650.
• Marta Tyran-Kamińska, Ergodic theorems and perturbations of contraction semigroups, Studia Mathematica 195 (2009), 147-155.
• Marta Tyran-Kamińska, Substochastic semigroups and densities of piecewise deterministic Markov processes, Journal of Mathematical Analysis and Applications 357 (2009), 385-402.
• Michael C. Mackey, Marta Tyran-Kamińska, Dynamics and density evolution in piecewise deterministic growth processes, Annales Polonici Mathematici 94 (2008), 111-129.
• Michael C. Mackey, Marta Tyran-Kamińska, Central limit theorem behavior in the skew tent map, Chaos, Solitons & Fractals 38 (2008), 789-805.
• Michael C. Mackey, Marta Tyran-Kamińska, Central limit theorems for non-invertible measure preserving maps, Colloquium Mathematicum 110 (2008), 167-191.
• Michael C. Mackey, Marta Tyran-Kamińska, Temporal behavior of the conditional and Gibbs’ entropies, Journal of Statistical Physics 124 (2006), 1443-1470.
• Michael C. Mackey, Marta Tyran-Kamińska, Noise and conditional entropy evolution, Physica A 365 (2006), 360-382.
• Michael C. Mackey, Marta Tyran-Kamińska, Deterministic Brownian motion: The effects of perturbing a dynamical system by a chaotic semi-dynamical system, Physics Reports 422 (2006), 167-222.
• Marta Tyran-Kamińska, An invariance principle for maps with polynomial decay of correlations, Communications in Mathematical Physics 260 (2005), 1-15.
• Marta Tyran-Kamińska, Support overlapping Markov semigroups, Bulletin of the Polish Academy of Sciences. Mathematics 51 (2003), 419-438.
• Ryszard Rudnicki, Katarzyna Pichór, Marta Tyran-Kamińska, Markov semigroups and their applications,  in:  Dynamics of Dissipation, eds.: P. Garbaczewski, R. Olkiewicz, Lectures Notes in Physics 597, Springer-Verlag, Berlin, 2002, pp. 215-238.
• Marta Tyran-Kamińska, Stochastic differential equation driven by a pure birth-process, Annales Polonici Mathematici 78 (2002), 11-23.
• Marta Tyran-Kamińska, Stability of Markov processes nonhomogeneous in time, Annales Polonici Mathematici 71 (1999),  47-59.
• Marta Tyran-Kamińska, Generic properties of Iterated  Function Systems with place dependent probabilities, Universitatis Iagellonicae. Acta Mathematica 53 (1997), 213-223.

• XXV Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie Jadwisin, Poland, September 16-20, 2019
• Jubileuszowy Zjazd Matematyków Polskich w stulecie PTM Kraków, Poland, September 3-7, 2019
• BIOMATH Będlewo, Poland, June 16-20, 2019
• Semigroups of Operators: Theory and Applications Kazimierz Dolny, Poland, September 30 – October 5, 2018
• UMI-SIMAI-PTM Joint Meeting Wrocław, Poland, September 17-20, 2018
• XXIV Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie Zakopane-Kościelisko, Poland, September 3-7, 2018
• LVIII Szkoła Matematyki Poglądowej Wola Ducka, Poland, August 23-28, 2018
• XV Konferencja z Probabilistyki Będlewo, Poland, May 21-25, 2018
• Simons Semester on Mathematical Biology Banach Center, Warsaw, 1 December 2017 – 31 March 2018
  • From individual based models to structured population level description Będlewo, Poland, March 12-16, 2018
  • Information transmission in biological systems Będlewo, Poland, March 5-9, 2018
  • BioPhysMath Warsaw, December 7-9, 2017
• NHOC2017 Porto, Portugal, July 3-5, 2017
• Śladami kobiet w matematyce: w stulecie urodzin profesor Heleny Rasiowej Rzeszów, Poland, June 22-24, 2017
• PDMPs, Theory and applications Seillac, France, May 29-June 2, 2017
• BioFizMat6 Warsaw, Poland, May 26-27, 2017
• BioFizMat5 Warsaw, Poland, December 8-9, 2016
• 7th Forum of Polish Mathematicians Olsztyn, Poland, September 12-17, 2016
• Dynamical Systems and Applications, Łódź, Poland, June 16-18,2016
• Statistical properties of dynamical systems Workshop at the Erwin Schrödinger Institute, Vienna, May 9-13, 2016
• Evolution equations: theory and applications Besancon, France, March 23-2, 2015
• ECMTB 2014 9th European Conference on Mathematical and Theoretical Biology, Gothenburg, June 15-19, 2014
• In honour of Michael Mackey’s 70th birthday Lyon, France, June 3-6, 2013
• Thematic program: Mathematical Biology Lyon, France, March 4 – June 14, 2013
• 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
• XI Konferencjaz Probabilistyki Będlewo, Poland, May 24-28, 2010
• 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

Seminarium zespołu badawczego ,,Deterministyczne i Stochastyczne Metody Badania Modeli Przyrodniczych” odbywa się w czwartki w sali 553, w tygodniach gdy są zajęcia dydaktyczne. W semestrze letnim 2021/2022 seminarium jest w godzinach od 13:00 do 14:30.

W dniach 31 marca i 1 kwietnia 2022 zapraszamy na: 

Katowicko-Lubelskie Seminarium z Biologii Matematycznej

Organizator: Oddział Instytutu Matematycznego PAN w Katowicach i Zespół Badawczy: ,,Deterministyczne i Stochastyczne Metody Badania Modeli Przyrodniczych” Instytutu Matematyki Uniwersytetu Śląskiego w Katowicach
Miejsce: Instytut Matematyki Uniwersytetu Śląskiego w Katowicach, ul. Bankowa 14, s. 553

Czwartek 31.03.2022

Sesja I: Prowadzący: R. Rudnicki
11:30-12:30 A. Bobrowski: Konkatenacja niezachowawczych procesów Fellera, rozkłady czasów wyjścia i twierdzenia graniczne na grafach
12:45-13:45 A. Gregosiewicz: Od lepkiego brzegu do wypukłych rozkładów rezolwent i z powrotem

Sesja II: Prowadząca: M. Tyran-Kamińska
15:15-16:15 E. Ratajczyk: O parach komplementarnych warunków brzegowych i warunków transmisji
16:30-17:30 R. Wieczorek: O funkcjonalnych centralnych twierdzeniach granicznych dla procesów stochastycznych o wartościach w przestrzeni miar

Piątek 1.04.2022

Sesja III: Prowadzący: A. Bobrowski
9:30-11:00 Dyskusja o problemach badawczych
11:30-12:30 M. Tyran-Kamińska: Warunki brzegowe a półgrupy stochastyczne
12:45-13:45 K. Pichór: Model dynamiki układu odpornościowego

Sesja IV: Prowadząca: K. Pichór
15:15-16:15 A. Tomski: Stochastyczny model Goodwina
16:30-17:30 R. Rudnicki: O pewnych aspektach matematycznego modelowania cyklu komórkowego