Induced Probability Distributions on Double Cosets

Induced Probability Distributions on Double Cosets

Probability Seminar
Apr 7, 2021, 03:00 PM - 04:00 PM | Zoom (https://berkeley.zoom.us/j/95668607041) | Happening As Scheduled
Mackenzie Simper, Stanford University

Suppose H and K are subgroups of a finite group G and consider the H-K double cosets. The uniform distribution on G induces a probability distribution on this space of double cosets. I will discuss several examples, then focus on the case when $G = S_n$ and H and K are parabolic subgroups. The double cosets are contingency tables with fixed row and column sums and the induced distribution is the...