分野別セミナー

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.