Institute of Mathematics for Industry

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Ergodic theoretic classification of q-central probability measures


Hold Date 2019-11-15 16:30~2019-11-15 18:00

Place Seminar Room W1-D-725, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Ryosuke SATO (Nagoya University)

Abstract:
Gorin introduced the so-called q-central probability measures in the context of asymptotic representation theory and its quantization theory. In this talk, we review a representation-theoretic interpretation of q-central probability measures and determine an invariant in ergodic theory, called ratio sets, for ergodic q-central probability measures. Using those ratio sets, we investigate q-central probability measures from the viewpoint of representation theory and ergodic theory.