16 citations · 64 across the 11 of their papers we have counts for
12 papers
On the Existence of Geometrically Attracting Measures for Iterated Function Systems with Varying Sets of Transformations
Dawid Czapla, Rafał Kapica, Maciej Ślęczka
In this paper, we focus on the asymptotic behavior of random iterated functions systems, in which both the family of transformations and the distribution of selecting them vary at…
Law of the Iterated Logarithm for Markov Semigroups with Exponential Mixing in the Wasserstein Distance
Dawid Czapla, Sander C. Hille, Katarzyna Horbacz +1
In this paper, we establish the law of the iterated logarithm for a wide class of non-stationary, continuous-time Markov processes evolving on Polish spaces. Specifically, our resu…
On the Existence and Uniqueness of Stationary Distributions for Some Piecewise Deterministic Markov Processes With State-Dependent Jump Intensity
Dawid Czapla
In this paper, we consider a subclass of piecewise deterministic Markov processes with a Polish state space that involve a deterministic motion punctuated by random jumps, occurrin…
The central limit theorem for Markov processes that are exponentially ergodic in the bounded-Lipschitz norm
Dawid Czapla, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
In this paper, we establish a version of the central limit theorem for Markov-Feller continuous time processes (with a Polish state space) that are exponentially ergodic in the bou…
Exponential ergodicity in the bounded-Lipschitz distance for a subclass of piecewise-deterministic Markov processes with random switching between flows
Dawid Czapla, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
In this paper, we study a subclass of piecewise-deterministic Markov processes with a Polish state space, involving deterministic motion punctuated by random jumps that occur at ex…
On absolute continuity of invariant measures associated with a piecewise-deterministic Markov processes with random switching between flows
Dawid Czapla, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
We are concerned with the absolute continuity of stationary distributions corresponding to some piecewise deterministic Markov process, being typically encountered in biological mo…