Nonclassical stochastic flows and continuous products
Probability
2007-05-23 v3 Operator Algebras
Abstract
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.
Cite
@article{arxiv.math/0402431,
title = {Nonclassical stochastic flows and continuous products},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:math/0402431},
year = {2007}
}
Comments
A survey, 126 pages. Version 3 (final): former Question 9d4 is solved; 8a1 reformulated. Ref [41] added. For readability, sections are reordered (123456..->142536..). Cosmetic changes, mostly in 1b, 2a, 3d, (4a7) (v3 numbers) and Introduction