I am mainly interested in continuous limits of plane critical models. I
did my PhD thesis at Université Paris-Sud (Orsay), under the
supervision of Wendelin
Werner.
Research interests :
- Schramm-Loewner Evolution (SLE), Phase transition, Critical
percolation
Publications/ Preprints :
Euler integrals for commuting SLEs, to appear, J. Statist. Phys., article
Commutation relations for SLE, to appear, Comm. Pure Applied Math., preprint
Excursion Decompositions for SLE and Watts' crossing formula, Probab.
Theory Related Fields (2006), no. 3, 453-488, article
$SLE(\kappa,\rho)$ martingales and duality, Annals of Probability
(2005),
Vol. 33, no. 1, 223-243, article
Critical percolation in annuli and $SLE_6$, Comm. Math. Phys,
245 (2004), no. 3, 627-637, article
Reflected Brownian motions, intertwining relations and crossing
probabilities, Ann. Inst. H. Poincar\'e Probab. Statist. 40 (2004), no.
5, 539--552,
article
SLE and Triangles, Electr. Comm. Probab. 8 (2003), 28-42, article
arXiv frontpage
PhD thesis:
"Sur le processus de Scramm-Loewner et la limite continue de la
percolation critique plane", under the supervision of Wendelin Werner,
Université Paris-Sud, June 2004, pdf