Absolutely continuous invariant measures for random dynamical systems

Семинар Добрушинской математической лаборатории ИППИ РАН 2 марта, вторник, 16:00 пройдет в Zoom по обычному адресу (см. ниже).
Evgeny Verbitskiy (University of Leiden): Absolutely continuous invariant measures for random dynamical systems
Abstract: I will give an overview of two recent results on the existence of absolutely continuous invariant measures (acim) for random interval transformations, comprising of 'good' (hyperbolic) and 'bad' (non-hyperbolic) maps. It turns out that even in the case when a random dynamical system admits a finite acim, i.e., when the good guys win, the density of the invariant measure is less smooth than in a purely hyperbolic case. For example, the random mixture of the Gauss and Renyi continued fractions maps has a very smooth, but not real-analytic, invariant density.
Ссылка для подключения к семинару ИППИ:
https://zoom.us/j/93175142429?pwd=VDViRHNOSlZSVUM5ZU03SGZyZy8xQT09
Id: 931-7514-2429 passw=057376
Пожалуйста регистрируйте участие в Zoom по вашему имени и фамилии, а не псевдонимом. Переименовать себя можно прямо во время сессии.