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A Concentration Inequality for Product Spaces

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  • UserKonstantinos Tyros (Warwick)
  • ClockThursday 26 November 2015, 14:30-15:30
  • HouseMR12.

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 (ā„¦, F, P ), where p > 1 and (ā„¦, F, P ) is the product space of sufficiently many probability spaces (ā„¦1 , F1 , P1 ), ..., (ā„¦n , Fn , Pn ), then there is a long enough interval I of [n] such that for almost all x in iāˆˆI ā„¦i the expected value of the section fx of f at x, i.e. fx : iāˆˆ[n]\I ā„¦i ā†’ R with fx (y) = f (x, y) for all y in iāˆˆ[n]\I ā„¦i , 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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