English

A note on Boolean stochastic processes

Operator Algebras 2015-06-19 v1 Probability

Abstract

For the quantum stochastic processes generated by the Boolean Commutation Relations, we prove the following version of De Finetti Theorem: each of such Boolean process is exchangeable if and only if it is independent and identically distributed with respect to the tail algebra.

Cite

@article{arxiv.1403.3763,
  title  = {A note on Boolean stochastic processes},
  author = {francesco Fidaleo},
  journal= {arXiv preprint arXiv:1403.3763},
  year   = {2015}
}

Comments

9 pages

R2 v1 2026-06-22T03:27:27.112Z