B. Tsirelson

Scaling limit for Fourier-Walsh coefficients (a framework)

Recent works

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

A short (11 pages, 3 figures) research preprint. Bibl. 4 refs.

Independent random signs can govern various discrete models that converge to non-isomorphic continuous limits. Convergence of Fourier-Walsh spectra is established under appropriate conditions.

  1. Introduction.
  2. Beyond topological semigroups.
  3. Convolution semigroups and independence (continuous time).
  4. Discrete time: convolution, independence, spectrum.
  5. Scaling limit.
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