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math.DS2014★ 17 cited
Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
Serge Cantat, Christophe Dupont
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…
math.DS2014
Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)
François Berteloot, Fabrizio Bianchi, Christophe Dupont
We introduce a notion of stability for equilibrium measures in holomorphic families of endomorphisms of CP(k) and prove that it is equivalent to the stability of repelling cycles a…