Zeon Algebra, Fock Space, and Markov Chains

Details Zeon Algebra, Fock Space, and Markov Chains Zeon Algebra, Fock Space, and Markov Chains

2007-11-11

arxiv.org/abs/0711.1680v1

Communications on Stochastic Analysis, v. 2, no. 2, 2008, 263-275

Physics

Mathematical Physics

Scientific paper

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.

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