Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process

Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process

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 any state right after the jump is attained by a randomly selected continuous transformation. It is assumed that the jumps...

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Bibliographic Details
Main Authors: Dawid Czapla, Sander C. Hille, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
invariant measure
piecewise-deterministic markov process
random dynamical system
jump rate
continuous dependence
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2020056?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mbe.2020056?viewType=HTML

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