Dimension of Stationary Measures - Lecture 3

Explore the third lecture in a series on the dimension of stationary measures for random walks, presented by François Ledrappier and Pablo Lessa. Delve into the study of admissible topologies on configuration spaces and their dynamics. Examine the change of coordinates in these spaces and understand the one-step formula crucial for analyzing random walks on matrices. Gain insights into the fine structure of flag spaces and how it relates to the dimension of stationary measures. This advanced mathematical lecture is part of the Simons Semester on Dynamics, offering a deep dive into the methods and results for studying dynamical systems and measure theory.