B. Tsirelson

Noise as a Boolean algebra of sigma-fields. I. Completion

Recent works

Boris Tsirelson,
"Noise as a Boolean algebra of sigma-fields. I. Completion"
Available online (free of charge) from e-print archive (USA):
or its Israeli mirror:

A research eprint, 16 pages, bibl. 6 refs.

Nonclassical noises over the plane (such as the black noise of percolation) consist of sigma-fields corresponding to some planar domains. One can treat less regular domains as limits of more regular domains, thus extending the noise and its set of sigma-fields. The greatest extension is investigated in a new general framework.

  1. Introduction.
  2. The complete lattice of sigma-fields.
  3. Noise-type Boolean algebras.
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