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Coefficient rings for beta function classes of Markov chains
Published online by Cambridge University Press: 10 November 2000
Abstract
To each function we associate a period, a polytope, a group $\Gamma$, a subgroup $\Delta \subset\Gamma$ and a coset of $\Gamma/\Delta$, and show these objects to be universal for the class of Markov chains with that beta function. One consequence is that polynomial matrices employed in coding problems of Markov chains can be chosen canonically.
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- © 2000 Cambridge University Press
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