dr Dawid Czapla | Instytut Matematyki

Additional roles Additional roles

Editor-in-chief of the website of the Institute of Mathematics at the University of Silesia in Katowice

CV CV

(Polski) Wykształcenie

od 01.10.2020: kształcenie w Szkole Doktorskiej UŚ w dyscyplinie informatyka
10.01.2017-15.07.2020: magisterium z matematyki (UŚ)
01.10.2014-07.07.2017: licencjat z matematyki (UŚ)

Zatrudnienie

od 01.10.2024: asystent w Instytucie Matematyki WNŚiT UŚ (75% matematyka, 25% informatyka)

Teaching Schedule Teaching Schedule

(Polski) Mój aktualny plan zajęć dostępny jest na tej stronie.

Papers Papers

Research articles

No.	Authors	Title	Bibliographic data

1.	D. Czapla	A criterion of asymptotic stability for Markov – Feller E-chains on Polish spaces	Ann. Polon. Math., vol. 105 (2012), no. 3, pp. 267-291, doi: 10.4064/ap105-3-5.
2.	D. Czapla, K. Horbacz	Equicontinuity and stability properties of Markov Chains arising from Iterated Function Systems with place dependent probabilities	Stoch. Anal. Appl., vol. 32 (2014), no. 1, pp. 1-29, doi: 10.1080/07362994.2013.836716.
3.	D. Czapla	A criterion on asymptotic stability for partially equicontinuous Markov operators	Stochastic Processes and their Applications, vol. 128 (2018), no. 11, pp. 3656-3678, doi: 10.1016/j.spa.2017.12.006.
4.	D. Czapla, K. Horbacz, H. Wojewódka-Ścieżko	Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling	Stochastic Processes and their Applications, vol. 130 (2020), no. 5, pp. 2851-2885, doi: 10.1016/j.spa.2019.08.006, arXiv: 1804.09220.
5.	D. Czapla, J. Kubieniec	Exponential ergodicity of some Markov dynamical systems with application to a Poisson driven stochastic differential equation	Dynamical Systems – An International Journal, vol. 34 (2019), no. 1, pp. 130-156, doi: 10.1080/14689367.2018.1485879, arXiv: 1801.06684.
6.	D. Czapla, K. Horbacz, H. Wojewódka-Ściążko	A useful version of the central limit theorem for a general class of Markov Chains	J. Math. Anal. Appl., vol. 484 (2020), no. 1 (in press), doi: 10.1016/j.jmaa.2019.123725, arXiv: 1804.09220.
7.	D. Czapla, S. C. Hille, K. Horbacz, H. Wojewódka-Ściążko	Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov chain	Mathematical Biosciences and Engineering, vol.17 (2020), no. 2, 1059-1073, doi: 10.3934/mbe.2020056, arXiv: 1909.05396.
8.	D. Czapla, K. Horbacz, H. Wojewódka-Ściążko	The Strassen Invariance Principle for Certain Non-Stationary Markov-Feller Chains	Asymptotic Analysis (2020), doi: 10.3233/ASY-191592, arXiv: 1810.07300.
9.	D. Czapla, S. C. Hille, K. Horbacz, H. Wojewódka-Ściążko	The law of the iterated logarithm for a piecewise deterministic Markov process assured by the properties of the Markov chain given by its post-jump locations	to appear in Stoch. Anal. App., a rXiv: 1909.06777(2019).
10.	D. Czapla, K. Horbacz, H. Wojewódka-Ściążko	Exponential ergodicity for a class of piecewise-deterministic Markov processes with random switching between flows	in preparation
11.	D. Czapla, K. Horbacz, H. Wojewódka-Ściążko	On absolute continuity of the invariant distribution in a piecewise-deterministic Markov processes with random switching between flows	submitted to Nonlinear Analysis, a rXiv: 2004.06798 (2019).

Monograph chapters and conference proceedings

No.	Authors	Title chapter’s title	The book’s title	Bibliographic data

1.	D. Czapla, K. Horbacz	The stability of Markov chains with partially equicontinuous transition structure	International Conference of Numerical Analysis and Applied Mathematics 2017 (ICNAAM 2015)	red. T. Simos oraz C. Tsitouras, AIP Publishing (vol. 1738 of AIP Conference Proceedings), Melville, New York, 2016, pp. 480039-1 – 480039-4, doi: 10.1063/1.4952275, ISBN: 978-0-7354-1854-7.
2.	D. Czapla, K. Horbacz, H. Wojewódka	The Strong Law of Large Numbers for Certain Piecewise-Deterministic Markov Processes with Application to a Gene Expression Model	International Conference of Numerical Analysis and Applied Mathematics 2017 (ICNAAM 2017)	red. T. Simos oraz C. Tsitouras, AIP Publishing (vol. 1978 of AIP Conference Proceedings), Melville, New York, 2018, pp. 470008-1 – 470008-4, doi: 10.1063/1.5044078, ISBN: 978-0-7354-1854-7.
3.	H. Wojewódka, D. Czapla, K. Horbacz	Limit Theorems for Certain Stochastic Models for Gene Regulatory Networks	International Conference of Numerical Analysis and Applied Mathematics 2017 (ICNAAM 2017)	red. T. Simos oraz C. Tsitouras, AIP Publishing (vol. 1978 of AIP Conference Proceedings), Melville, New York, 2018, pp. 470051-1 – 470051-4, doi: 10.1063/1.5044121, ISBN: 978-0-7354-1854-7.
4.	D. Czapla, K. Horbacz, H. Wojewódka-Ściążko	Limit theorems for a Markov Model of Autoregulated Gene Expression	International Conference of Numerical Analysis and Applied Mathematics 2018 (ICNAAM 2018)	red. T. Simos oraz C. Tsitouras, AIP Publishing (vol. 2116 of AIP Conference Proceedings), Melville, New York, 2019, pp. 450055-1 – 450055-4, doi: 10.1063/1.5114522, ISBN: 978-0-7354-1854-7.
5.	D. Czapla, K. Horbacz, H. Wojewódka-Ściążko	On the Connection between Exponential Ergodicity of a Piecewise Deterministic Markov Process and the Chain Given by its Post-jump locations	International Conference of Numerical Analysis and Applied Mathematics 2019 (ICNAAM 2019)	red. T. Simos oraz C. Tsitouras, AIP Publishing (AIP Conference Proceedings), Melville, New York, 2020, accepted for publication, ISBN: 978-0-7354-1854-7.
6.	D. Czapla, K. Horbacz, H. Wojewódka-Ściążko	On the continuous dependence of the stationary distribution of a piecewise deterministic Markov process on its jump intensity	International Conference of Numerical Analysis and Applied Mathematics 2019 (ICNAAM 2019)	red. T. Simos oraz C. Tsitouras, AIP Publishing (AIP Conference Proceedings), Melville, New York, 2020, accepted for publication, ISBN: 978-0-7354-1854-7.