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

Boris Tsirelson

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arXiv · 1107.3042

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

Boris Tsirelson

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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. 2011-07-28. Noise as a Boolean algebra of sigma-fields. I. Completion. https://arxiv.org/abs/1107.3042

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