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math.DS2024
Exponential equidistribution of periodic points for endomorphisms of
Henry de Thélin, Tien-Cuong Dinh, Lucas Kaufmann
Let be a holomorphic endomorphism of of algebraic degree . We show that the periodic points of of period equidistribute towards the equilibrium m…
math.DS2024
Exponential mixing of all orders and CLT for generic birational maps of
Henry De Thélin, Gabriel Vigny
For Hénon maps, Bianchi and Dinh recently proved the exponential mixing of all orders for the measure of maximal entropy and, as a consequence of the recent work of Björklund and G…
math.DS2010
Dynamics of automorphisms on compact Kähler manifolds
Henry De Thélin, Tien-Cuong Dinh
We study holomorphic automorphisms on compact Kähler manifolds having simple actions on the Hodge cohomology ring. We show for such automorphisms that the main dynamical Green curr…