Random dynamical systems with jumps and with a function type intensity



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.


Keywords

dynamical systems; asymptotic stability; Markov operators

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Published : 2016-09-23


KubieniecJ. (2016). Random dynamical systems with jumps and with a function type intensity. Annales Mathematicae Silesianae, 30, 63-87. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13956

Joanna Kubieniec  jkubieniec@us.edu.pl
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland



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