Dynamical properties of random walks-Reference-Cited by-同舟云学术

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Dynamical properties of random walks

Published:2019-05-30 Issue:03 Volume:19 Page:1950021
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Messaoudi Ali¹,Valle Glauco²^ORCID

Affiliation:

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

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

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 [Formula: see text] and [Formula: see text].

Funder

CNPq - BRAZIL

FAPESP - BRAZIL

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493719500217

Reference11 articles.

1. On Devaney's Definition of Chaos

2. Dynamics of Linear Operators

3. Distributional chaos for linear operators

4. Li–Yorke chaos in linear dynamics

5. Recurrence properties of hypercyclic operators

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Automatic Measuring of Complex Walk and Simplest 555 Chip Chaos;Proceedings of the 2023 9th International Conference on Computing and Artificial Intelligence;2023-03-17

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