Top-level heading

Every complex Hénon map satisfies the Central Limit Theorem.

Data e ora inizio evento
Data e ora fine evento
Sede

Dipartimento di Matematica, Università di Roma Tor Vergata

Aula
Altro (Aula esterna al Dipartimento)
Aula esterna
Aula Dal Passo
Speaker
Fabrizio Bianchi

Hénon maps were introduced by Michel Hénon as a simplified model of the Poincaré section of the Lorenz model. They are among the most studied discrete-time dynamical systems that exhibit chaotic behaviour. Complex Hénon maps have been extensively studied over the last three decades, in parallel with the development of pluripotential theory. I will present a recent result obtained with Tien-Cuong Dinh, where we show that the measure of maximal entropy of every complex Hénon map is exponentially mixing of all orders for Hölder observables. As a consequence of a recent result by Björklund-Gorodnik, the Central Limit Theorem holds for all Hölder observables. Note: This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (2023-2027)

Contatti/Organizzatori

sorrentino@mat.uniroma2.it