非经典随机流与连续乘积
概率论
2007-05-23 v3 算子代数
摘要
与经典认知相反，具有独立值的过程（恰当定义的）远比白噪声与 Poisson 点过程的组合更为多样，而乘积系统也远比 Fock 空间更为多样。本文综述了在构造与研究非经典随机流以及概率空间与 Hilbert 空间的连续乘积方面的最新进展。
引用
@article{arxiv.math/0402431,
title = {Nonclassical stochastic flows and continuous products},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:math/0402431},
year = {2007}
}
备注
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