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Ergodic theoretic classification of q-central probability measures

Hold Date
2019-11-15 16:30〜2019-11-15 18:00
Seminar Room W1-D-725, West Zone 1, Ito campus, Kyushu University
Object person
Ryosuke SATO (Nagoya University)

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.