A Concentration Inequality for Product Spaces

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• Konstantinos Tyros (Warwick)
• Thursday 26 November 2015, 14:30-15:30
• MR12.

If you have a question about this talk, please contact Andrew Thomason.

Abstract: In this talk we will present a concentration inequality roughly stating the following. If a function f belongs to Lp (Ω, F, P ), where p > 1 and (Ω, F, P ) is the product space of sufficiently many probability spaces (Ω1 , F1 , P1 ), ..., (Ωn , Fn , Pn ), then there is a long enough interval I of [n] such that for almost all x in i∈I Ωi the expected value of the section fx of f at x, i.e. fx : i∈[n]\I Ωi → R with fx (y) = f (x, y) for all y in i∈[n]\I Ωi , is close to the expected value of f.

This is a joint work with P. Dodos and V. Kanellopoulos.

This talk is part of the Combinatorics Seminar series.

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