Journal Article A family of non-sofic beta expansions

AKIYAMA, SHIGEKI

36 ( 02 )  , pp.343 - 354 , 2016-04 , Cambridge University Press
ISSN:0143-3857
NCID:AA10635922
Description
Let βn>1 be a root of xn−x−1 for n=4,5,… ; we will prove that βn is not a Parry number, i.e., the associated beta transformation does not correspond to a sofic symbolic system. A generalization is shown in the last section.
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