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SUMMARY:Isomorphism theorems\, random walks\, and spin systems. - Tyler He
 lmuth (University of Bristol)
DTSTART:20181203T110000Z
DTEND:20181203T123000Z
UID:TALK115783@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The celebrated BFS-Dynkin isomorphism theorem relates the loca
 l time of a random walk to the square of the Gaussian free field. I will d
 iscuss one way to see this connection\, and also a similar relation betwee
 n the local time of the vertex-reinforced jump process and hyperbolic spin
  models. If time permits I will also discuss an application: proving that 
 the vertex-reinforced jump process is always recurrent in two dimensions.<
 br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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