arXiv Analytics

Sign in

arXiv:0711.1680 [math-ph]AbstractReferencesReviewsResources

Zeon Algebra, Fock Space, and Markov Chains

Philip Feinsilver

Published 2007-11-11Version 1

Fock spaces over zeons are introduced. Trace identities and a noncommutative "integration-by-parts" formula are developed. As an application, we find a new criterion, without involving powers of the transition matrix, for a Markov chain to be ergodic.

Journal: Communications on Stochastic Analysis, v. 2, no. 2, 2008, 263-275
Categories: math-ph, math.MP
Subjects: 81S05, 60J10
Related articles: Most relevant | Search more
arXiv:1601.04673 [math-ph] (Published 2016-01-18)
Factorization of the transition matrix for the general Jacobi system
arXiv:2304.11551 [math-ph] (Published 2023-04-23)
Superoscillations and Fock spaces
arXiv:2208.03487 [math-ph] (Published 2022-08-06)
Bogoliubov Transformations Beyond Shale-Stinespring: Generic $ v^* v $ for bosons