Spring 2019

Modified log-Sobolev inequalities for strongly log-concave distributions *starts at 10:30 a.m. sharp*

Wednesday, Apr. 3, 2019 10:30 am12:00 pm PDT

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Parent Program: 

Heng Guo


Room 116

I will present a modified log-Sobolev inequality for r-homogeneous strongly log-concave distributions. As a consequence, we obtain an asymptotically optimal mixing time bound for the bases-exchange chain, and a concentration result for such distributions. 
The proof is simple and elementary. No functional analysis is involved.
Joint work with Mary Cryan and Giorgos Mousa.