30,720

Escola de Altos Estudos: Conformally Invariant Models (2008)

Random spatial processes and percolative systems; Percolation: basic concepts and techniques I; Subcritical phase; Supercritical phase; Study of critical and near critical percolation; Russo-Seymour-Welsh technology; Two fundamental Kesten.s theorems; Cardy formula; Smirnov's theorem; Stochastic Loewner Evolution (SLE); Convergence to SLE(6); Locality property of SLE(6); Definition of SLE with the self-avoiding walk intuition; Restriction property of SLE(8/3); Restriction defect of the other SLEs; Phases of SLE; A measure on self-avoiding loops; Introduction to the Brownian loop soup via Wilson's algorithm; The Brownian loop-soup and SLE; Conformal Loop-ensembles; Conformal Loop-ensembles and SLE.

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Random spatial processes and percolative systems; Percolation: basic concepts and techniques I; Subcritical phase; Supercritical phase; Study of critical and near critical percolation; Russo-Seymour-Welsh technology; Two fundamental Kesten.s theo...
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