BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Tyler Helmuth (University of Bristol)
DTSTART:20200622T120000Z
DTEND:20200622T130000Z
DTSTAMP:20260423T005803Z
UID:HSPETDS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HSPETDS/15/"
 >Random spanning forests and hyperbolic symmetry</a>\nby Tyler Helmuth (Un
 iversity of Bristol) as part of Horowitz seminar on probability\, ergodic 
 theory and dynamical systems\n\n\nAbstract\nThe arboreal gas is the probab
 ility measure that arises from conditioning the random subgraph given by B
 ernoulli($p$) bond percolation to be a spanning forest\, i.e.\, to contain
  no cycles. This conditioning makes sense on any finite graph $G$\, and in
  the case $p=1/2$ gives the uniform measure on spanning forests. The arbor
 eal gas also arises as a $q\\to0$ limit of the $q$-state random cluster mo
 del.\n\nWhat are the percolative properties of these forests? This turns o
 ut to be a surprisingly rich question\, and I will discuss what is known a
 nd conjectured. I will also describe a tool for studying connection probab
 ilities\, the magic formula\, which arises due to an important connection 
 between the arboreal gas and spin systems with hyperbolic symmetry.\n\nBas
 ed on joint work with Roland Bauerschmidt\, Nick Crawford\, and Andrew Swa
 n.\n
LOCATION:https://researchseminars.org/talk/HSPETDS/15/
END:VEVENT
END:VCALENDAR