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UID:7574@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170411T110000
DTEND;TZID=Europe/Paris:20170411T120000
DTSTAMP:20241120T204413Z
URL:https://www.i2m.univ-amu.fr/evenements/a-short-proof-of-the-existence-
 of-strongly-aperiodic-subshifts-over-01-in-countable-groups/
SUMMARY:Sebastián Barbieri (LIP\, ENS de Lyon): A short proof of the exist
 ence of strongly aperiodic subshifts over {0\,1} in countable groups
DESCRIPTION:Sebastián Barbieri: A Theorem of Gao\, Jackson and Seward\, or
 iginally conjectured to be false by Glasner and Uspenskij\, asserts that e
 very countable group admits a strongly aperiodic subshift over a 2-symbol 
 alphabet. Their proof consists of a quite technical construction. We give 
 a shorter proof of their result by using the asymmetrical version of Lovas
 z Local Lemma which allows us also to prove that this subshift is effectiv
 ely closed in the case of a finitely generated group with decidable word p
 roblem. This will all be preceded by a gentle introduction to symbolic dyn
 amics.\n\nhttp://perso.ens-lyon.fr/sebastian.barbieri/
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 020/01/Sebastian_Barbieri_Lemp.jpg
CATEGORIES:Séminaire,Ernest
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DTSTART:20170326T030000
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