Speaker Ronen Eldan
Host Yuval Peres
Date recorded 29 July 2014
Tools from James Lee’s July 28 talk will be employed to prove the following: Any non-negative function f on Gaussian space that is not too log-concave has tails strictly better than those given by Markov's inequality: P(f > c) < E[f]/(c (log c)1/6) where E[f] denotes the (Gaussian) expectation of f. An immediate consequence is a positive answer to Talagrand's (1989) question about regularization of L1 functions under convolution. (Joint work with James Lee).
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