Noise as a Boolean algebra of sigma-fields. II. Classicality, blackness, spectrum

Details Noise as a Boolean algebra of sigma-fields. II. Classicality, blackness, spectrum Noise as a Boolean algebra of sigma-fields. II. Classicality, blackness, spectrum

2011-09-08

arxiv.org/abs/1109.1690v1

Mathematics

Probability

13 pages

Scientific paper

Similarly to noises, Boolean algebras of sigma-fields can be black. A noise
may be treated as a homomorphism from a Boolean algebra of regular open sets to
a Boolean algebra of sigma-fields. Spectral sets are useful also in this
framework.

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