Results 1 to 10 of about 110 (73)

A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems

open access: yesOpen Mathematics, 2022
This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
doaj   +4 more sources

Bowen topological entropy of countable infinite groups on subsets [PDF]

open access: yesScientia Sinica Mathematica, 2019
Summary: In this paper, we study dynamical systems for general infinite countable groups. In particular, for any subset \(Z\) of a compact metric space \(X\), we define the naive Bowen topological entropy for the action on this subset. We develop some basic properties of this entropy, and for actions of infinite non-amenable groups, we show that there ...
Huang, Xiaojun   +2 more
exaly   +3 more sources

Billingsley-Type Theorem of Weighted Bowen Topological Entropy for Amenable Group Actions

open access: yesMathematics
Let (Xi,di) be a compact metric space with metric di, i=1,2…,k, and G be a discrete infinitely countable amenable group. This paper is based on continuous actions G↷Xi on compact metric spaces (Xi,di).
Yuan Lian, Hongjun Liu
doaj   +2 more sources

On Bowen's definition of topological entropy

open access: yesDiscrete and Continuous Dynamical Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michał Misiurewicz
exaly   +3 more sources

On the Topological Entropy of Some Skew-Product Maps

open access: yesEntropy, 2013
The aim of this short note is to compute the topological entropy for a family of skew-product maps, whose base is a subshift of finite type, and the fiber maps are homeomorphisms defined in one dimensional spaces.
Jose S. Cánovas
doaj   +3 more sources

Variational Principle for Neutralized Bowen Topological Entropy

open access: yesQualitative Theory of Dynamical Systems
Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as $$B_n(x,e^{-nε})=\{y\in X: d(T^jx, T^jy)
Xiaoyao Zhou   +2 more
exaly   +4 more sources

Variational principle for neutralized Bowen topological entropy on subsets of non-autonomous dynamical systems

open access: yes, 2023
Ovadia and Rodriguez-Hertz (Neutralized local entropy, arXiv:2302.10874) defined the neutralized Bowen open ball for an autonomous dynamical system on a compact metric space. Replacing the usual Bowen open ball with neutralized Bowen open ball, we introduce the notions of neutralized Bowen topological entropy of subsets, neutralized weighted Bowen ...
Sarkooh, Javad Nazarian   +3 more
openaire   +2 more sources

The Bowen's topological entropy of the Cartesian product sets

open access: yes, 2013
This article is devoted to showing the product theorem for Bowen's topological entropy.
Zhou, Xiaoyao, Chen, Ercai
openaire   +2 more sources

Wearable sensors and features for diagnosis of neurodegenerative diseases: A systematic review. [PDF]

open access: yesDigit Health, 2023
Zhao H   +7 more
europepmc   +1 more source

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