Concentration Properties of Restricted Measures

Speaker(s)

Piotr Nayar

Affiliation

University of Minnesota, IMA

Date

Dec. 17, 2015, 12:15 p.m.

Room

room 3260

Seminar

Seminar of Probability Group

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We show that for any metric probability space (M, d, \mu) with a finite subgaussian constant \sigma^2(\mu) and any set A in M we have \sigma^2(\mu_A) \leq c log (e/\mu(A)) \sigma^2(\mu), where \mu_A is a restriction of \mu to the set A and c is a universal constant. We discuss examples and open problems. Based on joint work with Prasad Tetali and Sergey Bobkov.

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