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UID:865@lincs.fr
DTSTART;TZID=Europe/Paris:20250117T110000
DTEND;TZID=Europe/Paris:20250117T120000
DTSTAMP:20250125T182414Z
URL:https://www.lincs.fr/events/sharp-phase-transitions-in-discrete-and-co
 ntinuum-percolation/
SUMMARY:Sharp phase transition in discrete and continuum percolation.
DESCRIPTION:This talk consists of simple example of percolation models:
 Bernoulli bond and site percolation on lattice and Poisson Boolean model on
 Euclidean space. In these models we say that percolation happens\, if there
 exists a critical value of the parameter such that\, the system has
 infinite component above the critical value of the parameter and all the
 components are finite if it is below the critical value. In this talk we
 shall explore the concept of sharp phase transition in the above
 percolation models using the seminal works by Hugo Duminil-Copin and
 co-authors. The term ``sharp phase transition" is about how the probability
 of having a path from origin to a distance $n$\, decays in $n$\, in the
 sub-critical regime. It also captures how the percolation probability
 behaves in the supercritical regime. Later in this talk I will present some
 example of higher dimensional percolation models on the lattice on Z^d\,
 namely the hypercube percolation and hole percolation model. The first
 model can be thought of as a generalization of the usual bond/site
 percolation model. Hiraoka and Mikami was the first to define the hole
 graph model. We will try to see how we can use the ``OSSS method" developed
 by Hugo Duminil-Copin and co-authors\, to prove sharp phase transition.
CATEGORIES:Network Theory,Working Group,Youtube
LOCATION:Amphi 6\, 19 Place Marguerite Perey\, Palaiseau\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=19 Place Marguerite Perey\,
 Palaiseau\, France;X-APPLE-RADIUS=100;X-TITLE=Amphi 6:geo:0,0
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TZID:Europe/Paris
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DTSTART:20241027T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
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