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SUMMARY:Supercritical Frozen Erdős-Rényi and Uniform Random Forests
DTSTART:20251112T130000Z
DTEND:20251112T140000Z
DTSTAMP:20260424T050700Z
UID:indico-event-15128@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Vincent Viau (LAGA\, Univ. Sorbonne Paris-Nord)\n\nS
 eed Seminar of Mathematics and Physics\nFall' 25 : Random Forests and Ferm
 ionic Field Theories  \nThe frozen Erdős-Rényi random graph is a varia
 nt of the standard dynamical Erdős-Rényi random graph that prevents the 
 creation of the giant component by freezing the evolution of connected com
 ponents with a unique cycle. The formation of multicyclic components is fo
 rbidden\, and the growth of components with a unique cycle is slowed down\
 , depending on a parameter p∈[0\,1] that quantifies the slowdown. In th
 is talk\, we will study the fluid limit of the main statistics of this pro
 cess\, that is their functional convergence as the number of vertices of t
 he graph becomes large and after a proper rescaling\, to the solution of a
  system of differential equations. The proof is based on the free forest p
 roperty of the frozen model: the forest part of the graph is a uniform ran
 dom forest. In order to prove the fluid limit results\, we will explain ho
 w to study and count forests using conditioned random walks.\n========\nPo
 ur être informé des prochains séminaires vous pouvez vous abonner à la
  liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec
  comme sujet: "subscribe seminaire_mathematique PRENOM NOM"(indiquez vos p
 ropres prénom et nom) et laissez le corps du message vide.\n\nhttps://ind
 ico.math.cnrs.fr/event/15128/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15128/
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