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arXiv · 1503.03035

Transitive dendrite map with zero entropy

Jakub Byszewski·Fryderyk Falniowski·Dominik Kwietniak
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Abstract

Hoehn and Mouron [Ergod. Th. \& Dynam. Sys. (2014) \textbf{34}, 1897--1913] constructed a map on the universal dendrite that is topologically weakly mixing but not mixing. We modify the Hoehn-Mouron example to show that there exists a transitive (even weakly mixing) dendrite map with zero topological entropy. This answers the question of Baldwin [Topology (2001) \textbf{40}, 551--569].

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Jakub Byszewski, Fryderyk Falniowski, Dominik Kwietniak. 2015-03-10. Transitive dendrite map with zero entropy. https://doi.org/10.1017/etds.2015.136

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