A criterion of asymptotic stability for Markov - Feller E-chains on Polish spaces, Ann. Polon. Math. 105 (2012),  no. 3, 267-291. MR2950661,  doi: 10.4064/ap105-3-5.

 Equicontinuity  and stability properties of Markov Chains arising from Iterated Function Systems with place dependent probabilities (with K. Horbacz), Stoch. Anal. Appl. 32 (2014),  no. 1, 1-29. MR3175812,  doi: 10.1080/07362994.2013.836716.

A criterion on asymptotic stability for partially equicontinuous Markov operators, Stochastic Processes and their Applications 128 (2018), no. 11, 3656-3678, doi: 10.1016/j.spa.2017.12.006

 Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling (with K. Horbacz and H. Wojewódka - Ściążko), Stochastic Processes and their Applications  130 (2020), no. 5, 2851-2885, doi: 10.1016/j.spa.2019.08.006,  arXiv: 1707.06489. 

 Exponential ergodicity of some Markov dynamical systems with application to a Poisson driven stochastic differential equation (with J. Kubieniec),  Dynamical Systems - An International Journal 34 (2019), no. 1, 130-156 doi: 10.1080/14689367.2018.1485879, arXiv: 1801.06684.

 A useful version of the central limit theorem for a general class of Markov Chains (with K. Horbacz and  H. Wojewódka - Ściążko),  J. Math. Anal. Appl. 484  (2020), no. 1, 123725, doi: 10.1016/j.jmaa.2019.123725, arXiv: 1804.09220.

 Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov chain (with S. C. Hille, K. Horbacz and H. Wojewódka-Ściążko),  Mathematical Biosciences and Engineering 17 (2020), no. 2, 1059-1073,  doi: 10.3934/mbe.2020056,  arXiv: 1909.05396.

 The Strassen Invariance Principle for Certain Non-Stationary Markov-Feller Chains (with K. Horbacz and H. Wojewódka - Ściążko), Asymptotic Analysis 121 (2021), no. 1, 1-34,  doi: 10.3233/ASY-191592,  arXiv: 1810.07300.

 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 (with S. C. Hille, K. Horbacz and H. Wojewódka - Ściążko), Stoch. Anal. Appl. 39 (2021), no. 2, 357-379,  doi: 10.1080/07362994.2020.1798252,  arXiv: 1909.06777.

On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows (with K. Horbacz and H. Wojewódka - Ściążko), Nonlinear Analysis 213 (2021), 112522,  doi: 10.1016/j.na.2021.112522,  arXiv: 2004.06798.

Exponential ergodicity in the bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching between flows (with K. Horbacz and H. Wojewódka - Ściążko), Nonlinear Analysis 215 (2022), 112678,  doi: 10.1016/j.na.2021.112678,   arXiv: 2011.07671.

The central limit theorem for Markov processes that are exponentially ergodic in the bounded-Lipschitz norm (with K. Horbacz and H. Wojewódka - Ściążko),  Qualitative Theory of Dynamical Systems 23 (2024), no. 1, 7,  doi: 10.1007/s12346-023-00862-4,  arXiv: 2210.11963.

On the existence and uniqueness of stationary distributions for some class of piecewise deterministic Markov processes with state-dependent jump Intensity (submitted to publication in 2023),  arXiv: 2303.11576.

On the exponential ergodicity  for some class of piecewise-deterministic Markov processes with state-dependent jump intensity (with K. Horbacz, in preparation).

 The stability of Markov chains with partially equicontinuous transition structure (with K. Horbacz), AIP Conference Proceedings 1738 (2016),  480039,  doi: 10.1063/1.4952275

The Strong Law of Large Numbers for Certain Piecewise-Deterministic Markov Processes with Application to a Gene Expression Model (with K. Horbacz and H. Wojewódka), AIP Conference Proceedings 1978 (2018), 470008,  doi: 10.1063/1.5044078

Limit Theorems for Certain Stochastic Models for Gene Regulatory Networks (with K. Horbacz and H. Wojewódka),  AIP Conference Proceedings 1978 (2018), 470051,  doi: 10.1063/1.5044121

Limit theorems for a Markov Model of Autoregulated Gene Expression (with K. Horbacz and H. Wojewódka), AIP Conference Proceedings 2116 (2019), 450055,  doi: 10.1063/1.5114522

 On the Connection between Exponential Ergodicity of a Piecewise Deterministic Markov Process and the Chain Given by its Post-jump locations  (with K. Horbacz and H. Wojewódka - Ściążko), AIP Conference Proceedings 2293 (2020), 420056,  doi: 10.1063/5.0026519

 On the continuous dependence of the stationary distribution of a piecewise deterministic Markov process on its jump intensity (with S.C. Hille, K. Horbacz and H. Wojewódka - Ściążko),  AIP Conference Proceedings 2293 (2020), 420083,  doi: 10.1063/5.0027213

 A note on absolute continuity of stationary distributions of some piecewise-deterministic Markov process (with K. Horbacz and H. Wojewódka - Ściążko), AIP Conference Proceedings  2425, 420015 (2022),  doi: 10.1063/5.0081329

A criterion on exponential ergodicity in the bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching (with K. Horbacz and H. Wojewódka - Ściążko), AIP Conference Proceedings 2849, 450015 (2023), doi:10.1063/5.0163391