Hardwired... to Szarek and Ball

Speaker(s)

Tomasz Tkocz

Affiliation

Carnegie Mellon University

Date

Dec. 7, 2023, 12:15 p.m.

Room

room 3160

Seminar

Seminar of Probability Group

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I shall present an extension of Szarek’s optimal Khinchin inequality (1976) for distributions close to the Rademacher one when all the weights are uniformly bounded by a 1/√2 fraction of their total l_2 mass; similarly for Ball’s cube slicing inequality (1986). The underpinning to such estimates is the Fourier-analytic approach going back to Haagerup (1981). Based on joint work with Eskenazis and Nayar.

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