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Matematicheskie Zametki, 2020, Volume 108, Issue 5, Pages 757–763
DOI: https://doi.org/10.4213/mzm12540 (Mi mzm12540) 		 
An Algorithm for Recognizing the Spherical Transitivity of an Initial Binary Automaton

T. I. Lipina

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm12540
Abstract: An algorithm is presented which determines in a finite number of steps whether an initial finite binary automaton is spherically transitive. Since the class of deterministic functions coincides with the class of functions satisfying the Lipschitz condition with constant 1 on the ring of $p$-adic integers, the algorithm is based on an ergodicity criterion for a deterministic function given by a van der Put series.
Keywords: spherical transitivity, initial automaton, $p$-adic number, van der Put series.
Received: 20.05.2020
Revised: 18.06.2020
English version:
Mathematical Notes, 2020, Volume 108, Issue 5, Pages 721–726
DOI: https://doi.org/10.1134/S0001434620110103
Bibliographic databases:
Document Type: Article
UDC: 519.713
Language: Russian
Citation: T. I. Lipina, “An Algorithm for Recognizing the Spherical Transitivity of an Initial Binary Automaton”, Mat. Zametki, 108:5 (2020), 757–763; Math. Notes, 108:5 (2020), 721–726
Citation in format AMSBIB
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