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SUMMARY:The steady state cluster
DTSTART:20260115T130000Z
DTEND:20260115T140000Z
DTSTAMP:20260522T062000Z
UID:indico-event-15354@indico.math.cnrs.fr
DESCRIPTION:Speakers: Eleanor Archer (CEREMADE)\n\nThe steady state cluste
 r was introduced by Edward Crane in 2018 as the conjectured stationary sta
 te of the Ráth-Tóth forest fire model and can be defined as the random f
 inite rooted tree C satisfying the following recursive equation: C is a si
 ngleton with probability 1/2 and otherwise is obtained by joining by an ed
 ge the roots of two independent trees C′ and C′′\, each having the l
 aw of C\, and then re-rooting the resulting tree at a uniform random verte
 x.We will discuss some properties of this tree: is it a Galton-Watson tree
  in disguise? And what is its scaling limit?Based on joint work in progres
 s with Edward Crane.\n\nhttps://indico.math.cnrs.fr/event/15354/
LOCATION:Fokko du Cloux (ICJ)
URL:https://indico.math.cnrs.fr/event/15354/
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