Fourier-Walsh coefficients for a coalescing flow (discrete time)

1999/03/12 by Boris Tsirelson, Tsirelson, Boris
Mathematics · #43A75 #60C05 (Secondary) #60K35 (Primary) 42C10 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:42C10 #msc:43A75 #msc:60C05 #msc:60K35

paper · pdf · doi:10.48550/arxiv.math/9903068

9 pages, 3 figures, LaTeX2e

arxiv created 1999/03/12 · arxiv updated 2009/11/30

Abstract

A two-dimensional array of independent random signs produces coalescing random walks. The position of the walk, starting at the origin, after N steps is a highly nonlinear, noise sensitive function of the signs. A typical term of its Fourier-Walsh expansion involves the product of about square roof of N signs.

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