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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.
