On dynamics of graph maps with zero topological entropy

DOI10.1088/1361-6544/aa8817zbMath1380.37088arXiv1711.01101OpenAlexW2766701027MaRDI QIDQ4600118

Tiaoying Zeng, Yi Ni Yang, Piotr Oprocha, Jian Li

Publication date: 5 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01101

zbMATH Keywords

topological entropyLi-Yorke chaosgraph mapMobius disjointness conjecture

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving maps of trees and graphs (37E25)

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Quasi-graphs, zero entropy and measures with discrete spectrum, Dendrites and measures with discrete spectrum, Zero entropy continuous interval maps and MMLS-MMA property, Recurrence and nonwandering sets of local dendrite maps, Topological sequence entropy and topological dynamics of tree maps, Mean equicontinuity, complexity and applications, Möbius disjointness conjecture for local dendrite maps, Graph maps with zero topological entropy and sequence entropy pairs, Some properties of circle maps with zero topological entropy

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