B. Tsirelson

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

Recent works

Boris Tsirelson,
"Fourier-Walsh coefficients for a coalescing flow (discrete time)."
Available online (free of charge) from e-print archive (USA):
or its Israeli mirror:

A short (9 pages, 3 figures) research preprint. Bibl. 2 refs.

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.

  1. Introduction.
  2. The model and results.
  3. Proofs.
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