Steklov Institute of Mathematics at St.Petersburg

PREPRINT 11/2015


A. M. VERSKIK

INVARIANT MEASURES: NEW ASPECTS OF DYNAMICS, COMBINATORICS AND REPRESENTATION THEORY (15-th TAKAGI LECTURES, 27-28 JUNE 2015.JAPAN)

St. Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences; Math. Dept. St. Petersburg State University; Moscow Institute for Information Transmission Problems.
vershik@gmail.com
This preprint was accepted December 11, 2015

ABSTRACT:   Invariant Measures, Branching Graphs, Central Measures, Adic
transformation and Rokhlin Towers, Young Diagrams, Random Walks,
Random Groups, Random Representations, Exit- and Martin- Bound-
aries, Asymptotic Representation Theory, Asymptotic Dynamics and
Combinatorics, Projective Limit of Simplecies, Filtrations, Standard-
ness, Lacunarity, Intrinsic (Kantorovich) Metrics, Limit shapes, Scal-
ing Entropy.

 
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