A class of quasigroups solving a problem of ergodic theory
Smith, Jonathan D. H.
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000), p. 409-414 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2000-01-01
Classification:  20N05,  60J10 
@article{119174,
     author = {Jonathan D. H. Smith},
     title = {A class of quasigroups solving a problem of ergodic theory},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {41},
     year = {2000},
     pages = {409-414},
     zbl = {1038.20054},
     mrnumber = {1780882},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119174}
}

Smith, Jonathan D. H. A class of quasigroups solving a problem of ergodic theory. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 409-414. http://gdmltest.u-ga.fr/item/119174/

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