Quenched and annealed limit theorems in IID conservative random dynamics

Date: Thursday 16th October 2025

Abstract

In this talk we discuss two kinds of limit theorems in random dynamics: those that hold almost surely (quenched) and those that hold on average (annealed). We show that in many cases annealed limit theorems imply quenched ones. As an application, we describe a natural class of random dynamical systems to which these results apply. This class includes many kinds of random flows and random compositions of diffeomorphisms and appears to be the generic case. (This is joint work with Dmitry Dolgopyat)