9 citations · 23 across the 7 of their papers we have counts for
7 papers
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…
The e-property of asymptotically stable Markov semigroups
Ryszard Kukulski, Hanna Wojewódka-Ściążko
The relations between asymptotic stability, the eventual e-property and the e-property of Markov semigroups, acting on measures defined on general (Polish) metric spaces, are studi…
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…
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
Dawid Czapla, Sander C. Hille, Katarzyna Horbacz +1
In the paper we consider some piecewise deterministic Markov process whose continuous component evolves according to semiflows, which are switched at the jump times of a Poisson pr…
Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process
Dawid Czapla, Sander C. Hille, Katarzyna Horbacz +1
We investigate a piecewise-deterministic Markov process, evolving on a Polish metric space, whose deterministic behaviour between random jumps is governed by some semi-flow, and an…
The Strassen Invariance Principle for Certain Non-stationary Markov-Feller Chains
Dawid Czapla, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
We propose certain conditions which are sufficient for the functional law of the iterated logarithm (the Strassen invariance principle) for some general class of non-stationary Mar…