Equidistribution of saddle periodic points for Henon-like maps

par Dr Muhan Luo (National University of Singapore)

vendredi 12 sept. 2025, 14:00 → 15:00 Europe/Paris

Salle de séminaire (Orléans institut Denis Poisson)

Abstract: We prove that under the natural assumption over the dynamical degrees, the saddle periodic points of a Hénon-like map in any dimension equidistribute with respect to the equilibrium measure. Our work is a generalization of results of Bedford-Lyubich-Smillie, Dujardin and Dinh-Sibony along with improvements of their techniques. I will start from the meaning for equidistribution for periodic points and explain all the necessary notions. This is a joint work with Qi Zhou.

https://arxiv.org/abs/2502.20103