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SUMMARY:Christian Hirsch (University of Groningen\, Netherlands)
DTSTART:20211001T050000Z
DTEND:20211001T060000Z
DTSTAMP:20260423T004659Z
UID:APATG/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/APATG/27/">S
 implicial percolation</a>\nby Christian Hirsch (University of Groningen\, 
 Netherlands) as part of Asia Pacific Seminar on Applied Topology and Geome
 try\n\n\nAbstract\nThis talk introduces weak and strong simplicial percola
 tion as models for continuum percolation based on random simplicial comple
 xes in Euclidean space. Weak simplicial percolation is defined through inf
 inite sequences of k-simplices sharing a (k-1)-dimensional face. In contra
 st\, strong simplicial demands the existence of an infinite k-surface\, th
 ereby generalizing the lattice notion of plaquette percolation. We discuss
  the sharp phase transition for weak simplicial percolation and derive sev
 eral relationships between weak simplicial percolation\, strong simplicial
  percolation\, and classical vacant continuum percolation. We will also dr
 aw connections to a variety of topological models for percolation that hav
 e been proposed recently in the literature. This talk is based on joint wo
 rk with Daniel Valesin.\n
LOCATION:https://researchseminars.org/talk/APATG/27/
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