Evènement pour le groupe Séminaire Méthodes Formelles


Date 2018-06-26  11:00-12:00
TitreOn Jeandel-Rao aperiodic tilings 
RésuméIn 2015, Jeandel and Rao showed by exhaustive computer search that every Wang tile set of cardinality <=10 either admit a periodic tiling of the plane or admit no tiling of the plane at all. Moreover, they found a Wang tile set of cardinality 11 which admits tilings of the plane but never periodically. Their algorithm is based on the representation of Wang tilings as the execution of a transducer on biinfinite sequences. In this talk, we present an alternate definition of the aperiodic tilings of Jeandel-Rao as the coding of a $mathbb{Z}^2$-action on the torus. We conjecture that it is a complete characterization. 
Lieu178 
OrateurSébastien Labbé 
Emailhttp://www.slabbe.org/ 
UrlLaBRI 



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