A criterion of asymptotic stability for Markov–Feller e-chains on Polish spaces

2012 ◽  
Vol 105 (3) ◽  
pp. 267-291 ◽  
Author(s):  
Dawid Czapla
Keyword(s):  
Asymptotic Stability ◽  
Polish Spaces

scholarly journals Random Dynamical Systems with Jumps and with a Function Type Intensity

2016 ◽  
Vol 30 (1) ◽  
pp. 63-87
Author(s):  
Joanna Kubieniec
Keyword(s):  
Dynamical Systems ◽  
Asymptotic Stability ◽  
Invariant Measure ◽  
Lipschitz Function ◽  
Random Dynamical Systems ◽  
Function Type ◽  
Polish Spaces

AbstractIn 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.

scholarly journals Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

2016 ◽  
Vol 30 (1) ◽  
pp. 129-142
Author(s):  
Paweł Płonka
Keyword(s):  
Dynamical Systems ◽  
Asymptotic Stability ◽  
Unique Ergodicity ◽  
Random Dynamical Systems ◽  
Random Measures ◽  
Polish Spaces

AbstractIn this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].

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