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
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topJean-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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