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math.PR2019
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…
math.PR2017
Equicontinuous Families of Markov Operators in View of Asymptotic Stability
Sander C. Hille, Tomasz Szarek, Maria A. Ziemlanska
Relation between equicontinuity, the so called e property and stability of Markov operators is studied. In particular, it is shown that any asymptotically stable Markov operator wi…