Mathematics Colloquium: Asaf Nachmias (MIT)

Topic

Arm exponents in high-dimensional percolation

Speakers

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Asaf Nachmias
Massachusetts Institute of Technology

Details

We study the probability that the origin is connected to the sphere of radius R in critical percolation in high dimensions, namely when the dimension d is a large fixed constant, or when d>6 and the lattice is sufficiently spread out. I will present highlights of the proof that this probability decays like R^{-2}. No knowledge of percolation will be assumed.

 

Joint work with Gady Kozma.

Additional Information


Asaf Nachmias (Massachusetts Institute of Technology)


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This is a Past Event
Event Type
Scientific, Seminar
Date
January 12, 2011
Time
-
Location
University of British Columbia