Quantization Effects and Boundaries of Random Walks on Groups

18 nov. 2024, 14:50
45m
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Orateur

M. Andrey Malyutin (St. Petersburg State Univ.)

Description

We will discuss random walks on discrete groups and group boundaries, which were among A.M.Vershik's favorite research topics. In particular, we discuss the Poincaré rotation number integer quantization effect for random walks on groups acting on the circle, and how this quantization effect can be interpreted in terms of boundary theory.

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