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arxiv: 0711.1680 · v1 · pith:RRC4QOXMnew · submitted 2007-11-11 · 🧮 math-ph · math.MP

Zeon Algebra, Fock Space, and Markov Chains

classification 🧮 math-ph math.MP
keywords fockmarkovalgebraapplicationchainchainscriteriondeveloped
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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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