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Dawid Czapla
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Year
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
192020
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
162019
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
152018
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
122021
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
102014
A criterion on asymptotic stability for partially equicontinuous Markov operators
D Czapla
Stochastic Processes and their Applications 128 (11), 3656-3678, 2018
62018
A criterion of asymptotic stability for Markov-Feller e-chains on Polish spaces
D Czapla
Annales Polonici Mathematici 105 (3), 267-291, 2012
52012
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
42020
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
32022
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
22021
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
22020
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
12024
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
12023
Limit theorems for a Markov model of autoregulated gene expression
D Czapla, K Horbacz, H Wojewódka
AIP Conference Proceedings 2116 (1), 450055, 2019
12019
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
12018
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
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