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Title: A class of quasigroups solving a problem of ergodic theory (English)
Author: Smith, Jonathan D. H.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 41
Issue: 2
Year: 2000
Pages: 409-414
Category: math
Summary: A pointed quasigroup is said to be semicentral if it is principally isotopic to a group via a permutation on one side and a group automorphism on the other. Convex combinations of permutation matrices given by the one-sided multiplications in a semicentral quasigroup then yield doubly stochastic transition matrices of finite Markov chains in which the entropic behaviour at any time is independent of the initial state. (English)
Keyword: quasigroup
Keyword: Latin square
Keyword: Markov chain
Keyword: doubly stochastic matrix
Keyword: ergodic
Keyword: superergodic
Keyword: dripping faucet
Keyword: group isotope
Keyword: central quasigroup
Keyword: semicentral quasigroup
Keyword: $T$-quasigroup
Keyword: left linear quasigroup
MSC: 20N05
MSC: 60J10
idZBL: Zbl 1038.20054
idMR: MR1780882
Date available: 2009-01-08T19:02:53Z
Last updated: 2012-04-30
Stable URL:
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