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DTSTART:20180325T030000
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DTSTART:20171029T020000
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DTSTAMP:20260404T203412Z
UID:5aa7cbe29255e041194549@ist.ac.at
DTSTART:20180321T140000
DTEND:20180321T150000
DESCRIPTION:Speaker: Wesley Pegden\nhosted by Herbert Edelsbrunner\nAbstrac
 t: The Abelian Sandpile is a simple diffusion process on the integer latti
 ce\, in which configurations of chips disperse according to a simple rule:
  when a vertex has at least 4 chips\, it can distribute one chip to each n
 eighbor.Introduced in the statistical physics community in the 1980s\, the
  Abelian sandpile exhibits striking fractal behavior which long resisted r
 igorous mathematical analysis (or even a plausible explanation).  We now h
 ave a relatively robust mathematical understanding of this fractal nature 
 of the sandpile\, which involves surprising connections between integer su
 perharmonic functions on the lattice\, discrete tilings of the plane\, and
  Apollonian circle packings.  In this talk\, we will survey our work in th
 is area\, and discuss avenues of current and future research.
LOCATION:Mondi Seminar Room 2\, Central Building\, ISTA
ORGANIZER:pdelreal@ist.ac.at
SUMMARY:Wesley Pegden: The fractal nature of the Abelian Sandpile
URL:https://talks-calendar.ista.ac.at/events/1178
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