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

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

2011-07-15

arxiv.org/abs/1107.3042v2

Mathematics

Probability

16 pages. Version 2: Theorem 2 simplified (both formulation and proof)

Scientific paper

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.

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