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.
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Acknowledgments
We thank anonymous referee for careful reading and helpful suggestions. The first author is supported by the Special Foundation of National Prior Basis Research of China (Grant No. G1999075108) and the second author is supported by National Natural Science Foundation of China (11171320 and 11431012).
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Mai, J., Shao, S. Chaotic Expansive Homeomorphisms on Closed Orientable Surfaces of Positive Genus. Commun. Math. Stat. 3, 291–314 (2015). https://doi.org/10.1007/s40304-015-0061-2
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DOI: https://doi.org/10.1007/s40304-015-0061-2