Chaotic Expansive Homeomorphisms on Closed Orientable Surfaces of Positive Genus

Abstract

In this paper we give a new and elementary proof to the following fact: each closed orientable surface of positive genus admits a both chaotic and expansive homeomorphism. Further more, we show that the homeomorphisms given are also weakly mixing.

Keywords

Expansive homeomorphism / Chaotic homeomorphism / Closed orientable surface

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Funding

National Natural Science Foundation of China(11171320)

National Natural Science Foundation of China(11431012)