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SUMMARY:Cores on lattices
DTSTART:20250513T075000Z
DTEND:20250513T085000Z
DTSTAMP:20260414T001300Z
UID:indico-event-14127@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ivailo Hartarsky (Univ. Lyon 1)\n\nConsider activati
 ng the $n$ vertices of a discrete square torus one at a time in uniformly 
 random order. For $n$ large\, when does an active 3-core (subgraph with mi
 nimum degree at least 3 induced by active vertices) appear and what is its
  size when it does? We answer these questions\, revealing a somewhat surpr
 ising explosion\, stronger than the mean-field phenomenology\, covered by 
 the classical work of Łuczak. The tools involved in the proof come from w
 ell-established bootstrap percolation theory. Yet\, extending the result t
 o other lattices is much more challenging and is the main focus of our wor
 k.\nThis talk is based primarily on joint work with Lyuben Lichev availabl
 e at https://arxiv.org/abs/2501.18976\, but also related joint works with 
 Hugo Duminil-Copin and with Augusto Teixeira.\n\nhttps://indico.math.cnrs.
 fr/event/14127/
LOCATION:Salle F. Pellos (1R2-207)
URL:https://indico.math.cnrs.fr/event/14127/
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