Семинары: M. Vergamini, Mixing and central limit theorems for Hénon maps

СЕМИНАРЫ


Семинар по современным проблемам комплексного анализа (Семинар Садуллаева) 10 октября 2024 г. 12:00, г. Ташкент, Онлайн на платформе Zoom

Mixing and central limit theorems for Hénon maps M. Vergamini^ab ^a Scuola Normale Superiore ^b University of Pisa
Аннотация: Let $f$ be a complex Hénon map and $\mu$ its unique measure of maximal entropy. Recently, Bianchi-Dinh proved that $\mu$ is exponentially mixing of all orders for all Hölder observables, and that all such observables satisfy the central limit theorem with respect to $\mu$. De Thélin-Vigny generalized these results for a certain class of bounded plurisubharmonic observables. We prove that these properties hold for all, not necessarily bounded, plurisubharmonic observables. This is a joint work with Hao Wu. Язык доклада: английский Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09