Noise sensitivity on continuous products: an answer to an old question of J. Feldman

1999/07/02 by Boris Tsirelson, Tsirelson, Boris
Mathematics · #60G20 (Primary) 60A10 (Secondary) #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60A10 #msc:60G20

paper · pdf · doi:10.48550/arxiv.math/9907011

15 pages, LaTeX2e

arxiv created 1999/07/02 · arxiv updated 2009/11/30

Abstract

A relation between sigma-additivity and linearizability, conjectured by Jacob Feldman in 1971 for continuous products of probability spaces, is established by relating both notions to a recent idea of noise stability/sensitivity.

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