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SUMMARY:The Self-Avoiding Walk Model (3/4)
DTSTART;VALUE=DATE-TIME:20180316T093000Z
DTEND;VALUE=DATE-TIME:20180316T113000Z
DTSTAMP;VALUE=DATE-TIME:20190718T171731Z
UID:indico-event-3188@indico.math.cnrs.fr
DESCRIPTION:Cours des Professeurs Permanents de l'IHES\n\n \n\nThe course
will focus on rigorous results for the self-avoiding walk model on lattic
es\, with a special emphasis on low-dimensional ones. The model is defined
by choosing uniformly at random among random walk paths starting from the
origin and without self-intersections. Despite its simple definition\, th
e self-avoiding walk is difficult to comprehend in a mathematically rigoro
us fashion\, and many of the most important problems illustrating standard
challenges of critical phenomena remain unsolved. The model is combinator
ial in nature but many questions about the stochastic properties of these
random paths can be solved by combining nice combinatorial features with p
robabilistic techniques. In the course\, we will describe some of the rece
nt techniques developed in the area\, including the use of discrete holomo
rphicity to understand the model on the hexagonal lattice.\n\nhttps://indi
co.math.cnrs.fr/event/3188/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/3188/
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