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Planar percolation with a glimpse of Schramm-Loewner Evolution

Abstract : In recent years, important progress has been made in the field of two-dimensional statistical physics. One of the most striking achievement is probably the proof of conformal invariance of percolation. This theorem, together with the introduction of the so-called Schramm-Loewner Evolution and techniques developed over the years in percolation, allow to describe the critical and near-critical regime of percolation very precisely. These are lecture notes from a course on that topic given at the 2011 "La Pietra week in Probability" in Florence, Italy.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00605057
Contributor : Vincent Beffara <>
Submitted on : Thursday, June 30, 2011 - 2:33:38 PM
Last modification on : Thursday, January 11, 2018 - 6:12:31 AM
Long-term archiving on: : Saturday, October 1, 2011 - 2:27:17 AM

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  • HAL Id : ensl-00605057, version 1
  • ARXIV : 1107.0158

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Vincent Beffara, Hugo Duminil-Copin. Planar percolation with a glimpse of Schramm-Loewner Evolution. 2011. ⟨ensl-00605057v1⟩

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