Henry de Th'elin

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20102024

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math.DS2024

Exponential equidistribution of periodic points for endomorphisms of $P^{k}$

Henry de Thélin, Tien-Cuong Dinh, Lucas Kaufmann

Let $f$ be a holomorphic endomorphism of $P^{k}$ of algebraic degree $d \geq 2$ . We show that the periodic points of $f$ of period $n$ equidistribute towards the equilibrium m…

math.DS2024

Exponential mixing of all orders and CLT for generic birational maps of $P^{k}$

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…

Exponential equidistribution of periodic points for endomorphisms of Pk

Exponential mixing of all orders and CLT for generic birational maps of Pk

Exponential equidistribution of periodic points for endomorphisms of $P^{k}$

Exponential mixing of all orders and CLT for generic birational maps of $P^{k}$