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arxiv: 1412.8682 · v1 · pith:K5HUA7XRnew · submitted 2014-12-30 · 🧮 math.CO · math.PR

Polynomials Associated with Finite Markov Chains

classification 🧮 math.CO math.PR
keywords markovchainfiniteminorsassociatedcasechainsconjecture
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Given a finite Markov chain, we investigate the first minors of the transition matrix of a lifting of this Markov chain to covering trees. In a simple case we exhibit a nice factorisation of these minors, and we conjecture that it holds more generally.

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