Random Dynamical Systems with Jumps and with a Function Type Intensity

Joanna Kubieniec

doi:10.1515/amsil-2016-0004

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Random Dynamical Systems with Jumps and with a Function Type Intensity

Annales Mathematicae Silesianae

Volume 30 (2016): Issue 1 (September 2016)

By: Joanna Kubieniec

Open Access

|Sep 2016

Abstract

In paper [4] there are considered random dynamical systems with randomly chosen jumps acting on Polish spaces. The intensity of this process is a constant λ. In this paper we formulate criteria for the existence of an invariant measure and asymptotic stability for these systems in the case when λ is not constant but a Lipschitz function.

References

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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2016-0004 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 63 - 87

Submitted on: Jan 13, 2016

Accepted on: Apr 19, 2016

Published on: Sep 23, 2016

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

dynamical systems,

asymptotic stability,

Markov operators

Related subjects:

Mathematics,

General mathematics

© 2016 Joanna Kubieniec, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 30 (2016): Issue 1 (September 2016)