Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture

Jean-Marc Deshouillers; Michael Drmota; Clemens Müllner

Studia Mathematica (2015)

  • Volume: 231, Issue: 1, page 83-95
  • ISSN: 0039-3223

Abstract

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We prove that automatic sequences generated by synchronizing automata satisfy the full Sarnak conjecture. This is of particular interest, since Berlinkov proved recently that almost all automata are synchronizing.

How to cite

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Jean-Marc Deshouillers, Michael Drmota, and Clemens Müllner. "Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture." Studia Mathematica 231.1 (2015): 83-95. <http://eudml.org/doc/285931>.

@article{Jean2015,
abstract = {We prove that automatic sequences generated by synchronizing automata satisfy the full Sarnak conjecture. This is of particular interest, since Berlinkov proved recently that almost all automata are synchronizing.},
author = {Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner},
journal = {Studia Mathematica},
keywords = {Sarnak conjecture; automatic sequences; synchronizing automata},
language = {eng},
number = {1},
pages = {83-95},
title = {Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture},
url = {http://eudml.org/doc/285931},
volume = {231},
year = {2015},
}

TY - JOUR
AU - Jean-Marc Deshouillers
AU - Michael Drmota
AU - Clemens Müllner
TI - Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture
JO - Studia Mathematica
PY - 2015
VL - 231
IS - 1
SP - 83
EP - 95
AB - We prove that automatic sequences generated by synchronizing automata satisfy the full Sarnak conjecture. This is of particular interest, since Berlinkov proved recently that almost all automata are synchronizing.
LA - eng
KW - Sarnak conjecture; automatic sequences; synchronizing automata
UR - http://eudml.org/doc/285931
ER -

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