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DTSTART:20260812T004001
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DTSTART;TZID=America/Santiago:20260727T163000
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SUMMARY:Santiago Dynamical Systems Seminar: Stabilization of subshifts of finite type by cellular automata
DESCRIPTION:Abstract: A subshift of finite type (SFT) is a set of infinite (d-dimensional) configurations defined by a finite set of local constraints (e.g. the set of 3-coloring of the grid). N. Fatès, I. Marcovici et S. Taati introduced in 2021 the following notion of stabilization: an SFT Σ is stabilizable if there is a cellular automaton F which\n1) leave invariant any configuration of Σ, and\n2) starting from any finite perturbation of any configuration of Σ, F reaches in finite time a\nconfiguration from Σ.\nThe goal of this talk is to show that any SFT (in any dimension) is stabilizable, which was an open question of Fatès-Marcovici-Taati-2021. We will also show that, in dimension 1, the stabilization can always be achieved in linear time, which has consequences on the possibility to stabilize configurations under random perturbations.\nSpeaker: Guillaume Theyssier (CNRS / Aix-Marseille Université)\n \n
URL:https://www.cmm.uchile.cl/events/seminarios-de-sistemas-dinamicos-de-santiago-stabilization-of-subshifts-of-finite-type-by-cellular-automata/
CATEGORIES:Seminarios
LOCATION:FCFM UChile
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