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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

A short proof of the existence of strongly aperiodic subshifts over {0,1} in countable groups

Sebastián Barbieri
LIP, ENS de Lyon
http://www.sbarbieri.usach.cl/

Date(s) : 11/04/2017   iCal
11h00 - 12h00

A Theorem of Gao, Jackson and Seward, originally conjectured to be false by Glasner and Uspenskij, asserts that every 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 Lovasz Local Lemma which allows us also to prove that this subshift is effectively closed in the case of a finitely generated group with decidable word problem. This will all be preceded by a gentle introduction to symbolic dynamics.

http://perso.ens-lyon.fr/sebastian.barbieri/

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