Physica A: Statistical Mechanics and its Applications, ( ISI ), Year (2019-12)

Title : ( Topological unified (r,s)-entropy )

Authors: R. Kazemi , M.R. Miri , Gholam Reza Mohtashami Borzadaran ,

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Abstract

In the recent decade, different extensions of Shannon entropy have been introduced. One of them which generalizes many classical entropies is unified (r, s)-entropy. The properties of topological entropy and Shannon entropy are similar. In this paper, we extend the concept of unified (r, s)-entropy to the topological dynamical system by using Bowen’s definition of separated and spanning sets. We call this notion topological Unified (r, s)-entropy. Then we find the value of topological unified (r, s)-entropy when X is a noncompact metric space and get the value of the topological unified (r, s)-entropy for X∗ when X∗ is one point-compactification of X.

Keywords

, Topological entropy Unified (r, s) entropy Tsallis entropy Tsallis topological entropy Joint entropy One point compactification
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@article{paperid:1077429,
author = {راضیه کاظمی and محمد رضا میری and Mohtashami Borzadaran, Gholam Reza},
title = {Topological unified (r,s)-entropy},
journal = {Physica A: Statistical Mechanics and its Applications},
year = {2019},
month = {December},
issn = {0378-4371},
keywords = {Topological entropy Unified (r; s) entropy Tsallis entropy Tsallis topological entropy Joint entropy One point compactification},
}

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%0 Journal Article
%T Topological unified (r,s)-entropy
%A راضیه کاظمی
%A محمد رضا میری
%A Mohtashami Borzadaran, Gholam Reza
%J Physica A: Statistical Mechanics and its Applications
%@ 0378-4371
%D 2019

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