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SUMMARY:Orthodiagonal maps\, tilings of rectangles and their convergence t
o the Riemann map
DTSTART:20231114T150000Z
DTEND:20231114T160000Z
DTSTAMP:20241110T001800Z
UID:indico-event-10879@indico.math.cnrs.fr
DESCRIPTION:Speakers: David Pechersky\n\nAbstract:Discrete complex analysi
s is the study of discrete holomorphic functions. These are functions defi
ned on graphs embedded in the plane that satisfy some discrete analogue of
the Cauchy-Riemann equations. While the subject is classical\, it has see
n a resurgence in the past 20-30 years with the work of Kenyon\, Mercat\,
Smirnov\, and many others demonstrating the power of discrete complex anal
ysis as a tool for understanding 2D statistical physics at criticality.In
this talk\, we’ll discuss how discrete complex analysis can be applied t
o solve a purely deterministic problem for a very general class of discret
izations of 2D space accommodating a notion of discrete complex analysis.\
n\nhttps://indico.math.cnrs.fr/event/10879/
URL:https://indico.math.cnrs.fr/event/10879/
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