1 citations · 1 across the 1 of their papers we have counts for
4 papers
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…
A Useful Version of the Central Limit Theorem for a General Class of Markov Chains
Dawid Czapla, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
In the paper we propose certain conditions, relatively easy to verify, which ensure the central limit theorem for some general class of Markov chains. To justify the usefulness of…
Law Of Large Numbers For Random Dynamical Systems
K. Horbacz, M. Ślęczka
We cosider random dynamical systems with randomly chosen jumps. The choice of deterministic dynamical system and jumps depends on a position. We proove the existence of an exponent…