Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling D Czapla, K Horbacz, H Wojewódka-Ściążko Stochastic Processes and their Applications 130 (5), 2851-2885, 2020 | 19 | 2020 |
A Useful Version of the Central Limit Theorem for a General Class of Markov Chains D Czapla, K Horbacz, H Wojewódka Journal of Mathematical Analysis and Applications, 2019 | 16 | 2019 |
Exponential ergodicity of some Markov dynamical system with application to a Poisson driven stochastic differential equation D Czapla, J Kubieniec Dynamical Systems: An International Journal, 2018 | 15 | 2018 |
The Strassen invariance principle for certain non-stationary Markov–Feller chains D Czapla, K Horbacz, H Wojewódka-Ściążko Asymptotic Analysis 121 (1), 1-34, 2021 | 12 | 2021 |
Equicontinuity and stability properties of Markov chains arising from iterated function systems on Polish spaces D Czapla, K Horbacz Stochastic Analysis and Applications 32 (1), 1-29, 2014 | 10 | 2014 |
A criterion on asymptotic stability for partially equicontinuous Markov operators D Czapla Stochastic Processes and their Applications 128 (11), 3656-3678, 2018 | 6 | 2018 |
A criterion of asymptotic stability for Markov-Feller e-chains on Polish spaces D Czapla Annales Polonici Mathematici 105 (3), 267-291, 2012 | 5 | 2012 |
Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process D Czapla, SC Hille, K Horbacz, H Wojewódka-Ściążko Mathematical Biosciences and Engineering 17 (2), 1059-1073, 2020 | 4 | 2020 |
Exponential ergodicity in the bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching between flows D Czapla, K Horbacz, H Wojewódka-Ściążko Nonlinear Analysis 215, 112678, 2022 | 3 | 2022 |
On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows D Czapla, K Horbacz, H Wojewódka-Ściążko Nonlinear Analysis 213, 112522, 2021 | 2 | 2021 |
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 D Czapla, SC Hille, K Horbacz, H Wojewódka-Ściążko Stochastic Analysis and Applications 39 (2), 357-379, 2020 | 2 | 2020 |
The Central Limit Theorem for Markov Processes that are Exponentially Ergodic in the Bounded-Lipschitz Norm D Czapla, K Horbacz, H Wojewódka-Ściążko Qualitative Theory of Dynamical Systems 23 (1), art. no. 7, 2024 | 1 | 2024 |
On the Existence and Uniqueness of Stationary Distributions for Some Class of Piecewise Deterministic Markov Processes With State-Dependent Jump Intensity D Czapla https://arxiv.org/abs/2303.11576, 2023 | 1 | 2023 |
Limit theorems for a Markov model of autoregulated gene expression D Czapla, K Horbacz, H Wojewódka AIP Conference Proceedings 2116 (1), 450055, 2019 | 1 | 2019 |
The strong law of large numbers for certain piecewise-deterministic Markov processes with application to a gene expression model D Czapla, K Horbacz, H Wojewódka AIP Conference Proceedings 1978 (1), 2018 | 1 | 2018 |
A criterion on the exponential ergodicity in the Bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching D Czapla, K Horbacz, H Wojewódka–Ściążko International Conference of Numerical Analysis and Applied Mathematics …, 2023 | | 2023 |
A note on absolute continuity of stationary distributions of some piecewise-deterministic Markov process D Czapla, K Horbacz, H Wojewódka–Sciazko AIP Conference Proceedings 2425 (1), 2022 | | 2022 |
The law of the iterated logarithm for a piecewise deterministic Marko process assured b the properties of the Marko chain gi en b its post-ump locations.,(2), 357-379. doi: 10 … D Czapla, SC Hille, K Horbacz, H Wo ewodka-Sciazko Law (mendment Ta erne) Downloaded from: https://hdl. handle. net/1887/3567275, 2021 | | 2021 |
On the continuous dependence of the stationary distribution of a piecewise deterministic Markov process on its jump intensity D Czapla, SC Hille, K Horbacz, H Wojewódka-Ściążko AIP Conference Proceedings 2293 (1), 2020 | | 2020 |
On the connection between exponential ergodicity of a piecewise deterministic Markov process and the chain given by its post-jump locations D Czapla, K Horbacz, H Wojewódka-Ściążko AIP Conference Proceedings 2293 (1), 2020 | | 2020 |