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Coefficient rings for beta function classes of Markov chains

Published online by Cambridge University Press:  10 November 2000

SELIM TUNCEL
SELIM TUNCEL
Affiliation:
Department of Mathematics, University of Washington, Seattle, WA 98195, USA (e-mail: tuncel@math.washington.edu)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 5 , October 2000 , pp. 1477 - 1493
Copyright
© 2000 Cambridge University Press

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