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 :
SLE and the free field: Partition functions and couplings, preprint
Duality of Schramm-Loewner Evolutions, preprint
Euler integrals for commuting SLEs, J. Statist. Phys. 123 (2006), no.6, 1183-1218, article
Commutation relations for SLE, Comm. Pure Applied Mathematics 60 (2007), no. 12, 1792-1847, article
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. Poincaré Probab. Statist. 40 (2004), no.
5, 539--552,
article
SLE and Triangles, Electr. Comm. Probab. 8 (2003), 28-42, article
preprints on 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