Quantization Effects and Boundaries of Random Walks on Groups

Overview

Explore a 36-minute mathematics lecture that delves into random walks on discrete groups and group boundaries, focusing on A.M. Vershik's research contributions. Learn about the Poincaré rotation number integer quantization effect for random walks on groups acting on the circle, and discover how this quantization effect can be interpreted through boundary theory. Delivered by Andrey Malyutin from St Petersburg State University at the Institut des Hautes Etudes Scientifiques (IHES), gain insights into these advanced mathematical concepts that bridge discrete group theory and boundary analysis.

Syllabus

Andrey Malyutin - Quantization effects and boundaries of random walks on groups

Taught by

Institut des Hautes Etudes Scientifiques (IHES)

Reviews

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Taught by

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Introduction to Random Walks on Groups - Lecture 7

Introduction to Random Walks on Groups - Lecture 8

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