Семинар Добрушинской математической лаборатории ИППИ РАН
22 февраля, вторник, 16:00. Zoom-подключение см. на сайте семинара:
http://iitp.ru/ru/userpages/74/285.htm
Константин Ханин (ИППИ + Uni Toronto): Iterates of random monotone maps and
coalescing processes
Abstract:
We study the rate of convergence of the iterates of iid random piecewise
constant monotone maps to the time-1 transport map for the process of
coalescing Brownian motions. We prove that the rate of convergence is
given by a power law. The time-1 map for the coalescing Brownian motions
can be viewed as a fixed point for a natural renormalization
transformation acting in the space of probability laws for random
piecewise constant monotone maps. Our result implies that this fixed
point is exponentially stable.
| 17.02.2022 | Комеч Сергей Александрович |