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SUMMARY:Roland Bauerschmidt (University of Cambridge)
DTSTART:20200515T133000Z
DTEND:20200515T143000Z
DTSTAMP:20260423T004132Z
UID:MEGA/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MEGA/3/">Ran
 dom spanning forests and hyperbolic symmetry.</a>\nby Roland Bauerschmidt 
 (University of Cambridge) as part of Séminaire MEGA\n\n\nAbstract\nWe stu
 dy (unrooted) random forests on a graph where the probability of a forest 
 is multiplicatively weighted by a parameter $\\beta>0$ per edge. This mode
 l is the $q\\to 0$ limit of the random cluster model with $p=q\\beta$. It 
 is also known under different names such as the arboreal gas or the unifor
 m forest model. In this talk\, I will discuss the tantalizing conjectural 
 behaviour of the model\, and then present our result that there is no perc
 olation in dimension two. This result relies on a surprising hyperbolic sy
 mmetry and methods previously developed for linearly reinforced walks. (Th
 is is joint work with Nick Crawford\, Tyler Helmuth\, and Andrew Swan.)\n
LOCATION:https://researchseminars.org/talk/MEGA/3/
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