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math.CV2023
Holomorphic motions of weighted periodic points
Fabrizio Bianchi, Maxence Brévard
We study the holomorphic motions of repelling periodic points in stable families of endomorphisms of . In particular, we establish an asymptotic equidistri…
math.CV2023★ 2 cited
Monotonicity of dynamical degrees for H{é}non-like and polynomial-like maps
Fabrizio Bianchi, Tien-Cuong Dinh, Karim Rakhimov
We prove that, for every invertible horizontal-like map (i.e., H{é}non-like map) in any dimension, the sequence of the dynamical degrees is increasing until that of maximal value,…
math.CV2023
Exponential mixing of all orders and CLT for automorphisms of compact K{ä}hler manifolds
Fabrizio Bianchi, Tien-Cuong Dinh
We consider the unique measure of maximal entropy of an automorphism of a compact K{ä}hler manifold with simple action on cohomology. We show that it is exponentially mixing of all…