From: Kelli McGee \(Kelly Services Inc\) (a-kellim@microsoft.com)
Date: Tue Jun 22 2004 - 16:16:46 PDT
You are invited to attend...
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WHO: Richard Kenyon
AFFILIATION: CNRS, Orsay, France
TITLE: Shapes of random crystalline surfaces and facet
formation
WHEN: Thu 7/01/2004
WHERE: 113/1021 Research Lecture Room, Microsoft Research
TIME: 3:30PM-5:00PM
HOST: David Wilson
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ABSTRACT:
We consider a natural family of models of random crystalline surfaces in
R^3 arising in the planar dimer model (domino tiling model). For fixed
boundary conditions, the law of large numbers leads to a PDE for the
limit shape (when the lattice spacing tends to zero) of the surfaces.
This PDE is a variant of the complex Burger's equation and can be
``solved'' analytically. This is surprising since the surfaces
generically have both smooth parts and facets. The interplay between
analytic (even algebraic) functions and facet formation in the surfaces
leads to some interesting questions in real algebraic geometry.
BIO:
Richard Kenyon is visiting Microsoft theory group from the Princeton
University math department, where he's visiting from his permanent
position at CNRS in Orsay, France. He received his Ph.D. in 1990 from
Princeton University, doing dynamics, geometry and tilings. Recently
Professor Kenyon has found himself being labeled as a probabilist, even
by some of his closest friends.
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