Topological entropy for set-valued functions

G Erceg, J Kennedy - 6th Croatian mathematical congress, 2016 - croris.hr
Sažetak We generalize the definition of topological entropy due to Adler, Konheim, and
McAndrew to set-valued functions from a closed subset of the interval to closed subsets of …

A surprising example for topological entropy of set-valued functions

G Erceg, J Kennedy - International Conference on Topology and its …, 2018 - croris.hr
Sažetak We generalize the definition of topological entropy due to Adler, Konheim, and
McAndrew to set-valued functions (usc functions) from a closed subset of the interval to …

[HTML][HTML] Topological entropy on closed sets in [0, 1] 2

G Erceg, J Kennedy - Topology and its Applications, 2018 - Elsevier
We generalize the definition of topological entropy due to Adler, Konheim, and McAndrew [1]
to set-valued functions from a closed subset A of the interval to closed subsets of the interval …

Topological entropy for closed subsets of the unit square

G Erceg, J Kennedy - 25 years of Topology seminar in Split: Scientific …, 2018 - croris.hr
Sažetak We generalize the de finition of topological entropy due to Adler, Konheim, and
McAndrew to set-valued functions from a closed subset of the interval to closed subsets of …

[PDF][PDF] Topological entropy for non-compact sets and its recent extensions

R Gogoi - Trending Research in Pure and Applied Mathematics - lgcollege.ac.in
In the year 1965, RL Adler, AG Konheim and MH McAndrew introduced the notion of
topological entropy for compact topological spaces. They introduced entropy as an invariant …

Topological entropy on set-valued functions

J Kelly, T Tennant - arXiv preprint arXiv:1509.08413, 2015 - arxiv.org
Topological entropy is a widely studied indicator of chaos in topological dynamics. Here we
give a generalized definition of topological entropy which may be applied to set-valued …

A generalized definition of topological entropy

L Rucká, L Block, J Keesling - Topology Proceedings, 2018 - is.slu.cz
Given an arbitrary (not necessarily continuous) function of a topological space to itself, we
associate a non-negative extended real number which we call the continuity entropy of the …

[PDF][PDF] The Bowen's topological entropy of the Cartesian product sets

X Zhou, E Chen - arXiv preprint arXiv:1303.3690, 2013 - arxiv.org
arXiv:1303.3690v2 [math.DS] 7 May 2013 The Bowen’s topological entropy of the Cartesian
product sets Page 1 arXiv:1303.3690v2 [math.DS] 7 May 2013 The Bowen’s topological entropy …

Uniform entropy vs topological entropy

D Dikranjan, HPA Kunzi - Topological Algebra and its Applications, 2015 - degruyter.com
Uniform entropy vs topological entropy Page 1 © 2015 Dikran Dikranjan and Hans-Peter A.
Kunzi, published by De Gruyter Open. This work is licensed under the Creative Commons …

[PDF][PDF] Brief survey on the topological entropy

J Llibre - Discrete Contin. Dyn. Syst. Ser. B, 2015 - core.ac.uk
BRIEF SURVEY ON THE TOPOLOGICAL ENTROPY Contents 1. Introduction 1 2. The
topological entropy 2 3. Part I. Topological entropy i Page 1 BRIEF SURVEY ON THE …