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Dynamical properties of random walks

Departamento de Matemática, Universidade Estadual Paulista, Rua Cristovão Colombo, 2265, Jardim Nazareth, 15054-000 - São José do Rio Preto, SP, Brasil

E-mail Address: ali.messaoudi@unesp.br

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and

Glauco Valle

http://orcid.org/0000-0002-3823-8220

Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, 21945-970, Rio de Janeiro, Brazil

E-mail Address: glauco.valle@im.ufrj.br

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https://doi.org/10.1142/S0219493719500217Cited by:1 (Source: Crossref)

Abstract

In this paper, we study dynamical properties such as hypercyclicity, supercyclicity, frequent hypercyclicity and chaoticity for transition operators associated to countable irreducible Markov chains. As particular cases, we consider simple random walks on $ℤ$ and $ℤ_{+}$ .

Keywords:

AMSC: 47A16, 60J10

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