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Autre Publication Scientifique Année : 2011

Planar percolation with a glimpse of Schramm-Loewner Evolution

Résumé

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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Dates et versions

ensl-00605057 , version 1 (30-06-2011)
ensl-00605057 , version 2 (01-11-2011)
ensl-00605057 , version 3 (07-06-2013)

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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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