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Journal Articles Journal of Fixed Point Theory and Applications Year : 2022

Conservative surface homeomorphisms with finitely many periodic points

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Abstract

The goal of the article is to characterize the conservative homeomorphisms of a closed orientable surface S of genus ≥2, that have finitely many periodic points. By conservative, we mean a map with no wandering point. As a particular case, when S is furnished with a symplectic form, we characterize the symplectic diffeomorphisms of S with finitely many periodic points.
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Dates and versions

hal-03663956 , version 1 (10-05-2022)

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Patrice Le Calvez. Conservative surface homeomorphisms with finitely many periodic points. Journal of Fixed Point Theory and Applications, 2022, 24 (2), pp.20. ⟨10.1007/s11784-022-00936-x⟩. ⟨hal-03663956⟩
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