## 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"

arXiv:1107.3042.

Available online (free of charge) from e-print archive (USA):

arXiv.org/abs/1107.3042/

or its Israeli mirror:

il.arXiv.org/abs/1107.3042/

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.

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

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