GT ADG-Systèmes Dynamiques
Equidistribution of saddle periodic points for Henon-like mapsMuhan Luo (National University of Singapore)
Friday 12 September 2025 14:00 - Orléans institut Denis Poisson - Salle de séminaire
Résumé :
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
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