Orbits of random dynamical systems

In this paper we introduce and study the notions of hypercyclicity and transitivity for random dynamical systemsand we establish the relation between them in a topological space. We also introduce the notions of mixing andweakly mixing for random dynamical systems and give some of their properties.

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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2024-01, Vol.42, p.1-9
Hauptverfasser: Zaou, Ahmed, Benchiheb, Otmane, Amouch, Mohamed
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we introduce and study the notions of hypercyclicity and transitivity for random dynamical systemsand we establish the relation between them in a topological space. We also introduce the notions of mixing andweakly mixing for random dynamical systems and give some of their properties.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.64370