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A class of quasigroups solving a problem of ergodic theory. (English) Zbl 1038.20054

The paper presents the result that each finite left semicentral pointed quasigroup defines doubly stochastic matrices giving superergodic finite Markov chains, i.e. the entropy of the Markov chain at any time is independent of the initial state. The construction is closely related to Latin squares.

MSC:

20N05 Loops, quasigroups
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
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