Probability Seminar

The probability seminar is a weekly seminar featuring the latest research in pure and applied probability. Speakers include internationally renowned probabilists as well as probabilistic work from related disciplines including computer science and operations research. It also presents graduate students a friendly environment to present their research.

The seminar is held weekly in 1011 Evans on Wednesdays at 3pm, except when otherwise indicated.

Upcoming Probability Seminars

Improving the constant in the $L^1$ Poincar\'e inequality on the Hamming cube, and related subjects

Alexander Volberg, Michigan State University

Jan 29, 2020 3:10pm

330 Evans Hall

Abstract:

We improve the constant $\frac{\pi}{2}$ in $L^1$-Poincar\'e inequality on Hamming cube. For Gaussian space the sharp constant in $L^1$ inequality is known, and it is the square root of $\frac{\pi}{2}$ (Maurey—Pisier). For Hamming cube the sharp constant is not known, and the square root of $\frac{\pi}{2}$ gives an estimate from below for this sharp constant. On the other hand, Ben Efraim and...

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