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Conformally Invariant Critical Models in Statistical Physics and Schramm-Loewner Evolution
(4 Lectures)
F. Rezakhanlou
University of California,
Berkeley, USA
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Abstract |
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One of the fundamental goal of statistical physics is the
understanding of the large scale behavior of microscopic models.
Recently, a new method for identifying the scaling limit of
various conformally invariant two dimensional critical systems has
been developed. The primary goal of these lectures is to describe
a number of lattice models in statistical physics such as
percolation, stochastic Ising model, self-avoiding random walks
and loop-erased walks. It is conjectured that these models (at
criticality) are macroscopically described by various members of a
continuous family of random processes known as Schramm-Loewner
evolutions (SLE). This conjectured has been established by
Schramm-Lawler-Werner for loop-erased random walk and by Smirnov
for the critical percolation on the triangular lattice. |
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Information |
| Time and Date: | Saturday,
June 17, 2006 14:00-15:30
Monday, June 19, 2006 14:00-15:30
Wednesday, June 21, 2006 14:00-15:30
Saturday, June 24, 2006 14:00-15:30
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| Place:Lecture Hall, Niavaran Bldg., Niavaran Sqr., Tehran, Iran |
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