Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy - Archive ouverte HAL
Journal Articles Journal of the European Mathematical Society Year : 2020

Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy

Serge Cantat
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Institut de Recherche Mathématique de Rennes
Christophe Dupont
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Institut de Recherche Mathématique de Rennes

Abstract

We classify complex projective surfaces with an automorphism of positive entropy for which the unique invariant measure of maximal entropy is absolutely continuous with respect to Lebesgue measure.

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Dynamical Systems [math.DS]
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Christophe Dupont  : Connect in order to contact the contributor

https://hal.science/hal-01071491

Submitted on : Sunday, October 5, 2014-9:40:30 PM

Last modification on : Friday, April 26, 2024-4:41:49 PM

Long-term archiving on : Tuesday, January 6, 2015-10:21:50 AM

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hal-01071491 , version 1 (05-10-2014)

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Serge Cantat, Christophe Dupont. Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy. Journal of the European Mathematical Society, 2020, 22 (4), pp.1289-1351. ⟨10.4171/JEMS/946⟩. ⟨hal-01071491⟩

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