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SUMMARY:Monotonicity and phase transition for the  edge-reinforced random 
 walk - Remy Poudevigne
DTSTART:20201103T140000Z
DTEND:20201103T150000Z
UID:TALK153787@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:The linearly edge reinforced random walk (ERRW) was \nintroduc
 ed in 1986 by Coppersmith and Diaconis and is one of the first \nexample o
 f reinforced random walks. Recently a link has been found between \nthis m
 odel\, the vertex reinforced jump process and a random spin model. \nBecau
 se of these links it was possible to show that in dimension 3 and \nabove\
 , the ERRW is recurrent for large reinforcement and transient for \nsmall 
 ones and thus exhibits a phase transition. We will present the links \nbet
 ween those models and show that the model has some monotonicity (the \nlar
 ger the reinforcements the more recurrent it is) and that its phase \ntran
 sition is unique.
LOCATION:Zoom
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