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

Published 15 Jul 2011 in math.PR | (1107.3042v2)

Abstract: 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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Boris Tsirelson

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