Szczegóły publikacji
Opis bibliograficzny
On construction of asymptotically stable iterated function system with probabilities / Grzegorz GUZIK // Stochastic Analysis & Applications ; ISSN 0736-2994. — 2016 — vol. 34 no. 1, s. 24–37. — Bibliogr. s. 37, Abstr.
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 95855 |
|---|---|
| Data dodania do BaDAP | 2016-02-02 |
| DOI | 10.1080/07362994.2015.1099046 |
| Rok publikacji | 2016 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Stochastic Analysis and Applications |
Abstract
We consider a Markov chain generated by random iterations of a family of mappings indexed by elements of an arbitrary measurable space. Under sufficiently weak assumptions we construct a family of place-dependent probability measures such that considered Markov chain converges to a stationary distribution. We also prove some sufficient condition for asymptotic stability of a family of i.i.d. mappings and we apply obtained result for discrete white noise random dynamical systems showing analogous probabilistic long-time behavior.