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UID:5394@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250207T110000
DTEND;TZID=Europe/Paris:20250207T120000
DTSTAMP:20250205T094959Z
URL:https://www.i2m.univ-amu.fr/evenements/seminaire-rauzy-2025-02-07/
SUMMARY:Solène ESNAY (I2M): Séminaire Rauzy: Percolation sur les pavages 
 de Penrose
DESCRIPTION:Solène ESNAY: In this talk\, we introduce dynamical (bootstrap
 ) percolation\, where a tiling of the plane has each tile independently co
 lored 0 or 1 following a measure mu\; then the 1 state propagates step by 
 step to tiles adjacent to at least two 1-colored tiles. We are interested 
 in the asymptotic behavior of this system\, which is a cellular automaton 
 with a spreading 1 state: is the entire tiling asymptotically invaded by 1
 s from mu-almost every initial configuration?\n\nWe answer this question p
 ositively for a wide variety of tilings (all rhombus tilings\, with a focu
 s during the presentation on Penrose tilings) and measures (a large class 
 that includes nontrivial Bernoulli measures). We do so with a careful stud
 y of what stable non-invading patches of 1s would look like\, then with pr
 obabilistic arguments as to why this situation mu-almost never happens.
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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