Chaotic Expansive Homeomorphisms on Closed Orientable Surfaces of Positive Genus
Jiehua Mai , Song Shao
Communications in Mathematics and Statistics ›› 2015, Vol. 3 ›› Issue (3) : 291 -314.
Chaotic Expansive Homeomorphisms on Closed Orientable Surfaces of Positive Genus
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.
Expansive homeomorphism / Chaotic homeomorphism / Closed orientable surface
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