Is critical 2D percolation universal?

Abstract : The aim of this paper is to explore possible ways of extending Smirnov's proof of Cardy's formula for critical site-percolation on the triangular lattice to other cases (such as bond-percolation on the square lattice); the main question we address is that of the choice of the lattice embedding into the plane which gives rise to conformal invariance in the scaling limit. Even though we were not able to produce a complete proof, we believe that the ideas presented here go in the right direction.
Document type :
Book sections
Complete list of metadatas

Cited literature [13 references]  Display  Hide  Download

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00168371
Contributor : Vincent Beffara <>
Submitted on : Monday, August 27, 2007 - 5:02:00 PM
Last modification on : Thursday, January 25, 2018 - 7:24:11 PM
Long-term archiving on : Friday, April 9, 2010 - 1:12:32 AM

Files

XEBP-Beffara.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Vincent Beffara. Is critical 2D percolation universal?. Progress in Probability, 60, 2008, In and Out of Equilibrium 2, 978-3-7643-8785-3. ⟨10.1007/978-3-7643-8786-0_3⟩. ⟨ensl-00168371⟩

Share

Metrics

Record views

107

Files downloads

146