Nonclassical stochastic flows and continuous products

Details Nonclassical stochastic flows and continuous products Nonclassical stochastic flows and continuous products

2004-02-26

arxiv.org/abs/math/0402431v3

Probability Surveys 1 (2004) 173-298

Mathematics

Probability

A survey, 126 pages. Version 3 (final): former Question 9d4 is solved; 8a1 reformulated. Ref [41] added. For readability, sect

Scientific paper

10.1214/154957804100000042

Contrary to the classical wisdom, processes with independent values (defined properly) are much more diverse than white noise combined with Poisson point processes, and product systems are much more diverse than Fock spaces. This text is a survey of recent progress in constructing and investigating nonclassical stochastic flows and continuous products of probability spaces and Hilbert spaces.

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