Reversibility of chordal SLE

Annals of Probability

Volumn 36, Issue 4, 2008, Pages 1472-1494

  Zhan, Papeng ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b YALE UNIVERSITY   (United States)

Author keywords

Coupling; Reversibility; SLE

Indexed keywords

EID: 52049113894     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/07-AOP366     Document Type: Article

References (17)

1. AHLFORS, L. V. (1973). Conformal Invariants: Topics in Geometric Function Theory. McGraw-Hill, New York. MR0357743
2. CAMIA, F. and NEWMAN, C. M. (2007). Critical percolation exploration path and SLEO: A proof of convergence. Probab. Theory Related Fields 139 473-519. MR2322705
3. DUBÉDAT, J. (2007). Commutation relations for Schramm-Loewner evolutions. Comm. Pure Appl. Math. 60 1792-1847. MR2358649
4. LAWLER, G. F., SCHRAMM, O. and WERNER, W. (2001). Values of Brownian intersection exponents. I. Half-plane exponents. Acta Math. 187 237-273. MR1879850
5. LAWLER, G. F., SCHRAMM, O. and WERNER, W. (2003). Conformal restriction: The chordal case. J. Amer. Math. Soc. 16 917-955. MR1992830
6. LAWLER, G. F., SCHRAMM., O. and WERNER, W. (2004). Conformal invariance of planar loop-erased random walks and uniform spanning trees. Ann. Probab. 32 939-995. MR2044671
7. LAWLER, G. F. and WERNER, W. (2004). The Brownian loop soup. Probab. Theory Related Fields 128 565-588. MR2045953
8. REVUZ, D. and YOR, M. (1991). Continuous Martingales and Brownian Motion. Springer, Berlin. MR1083357
9. ROHDE, S. and SCHRAMM, O. (2005). Basic properties of SLE. Ann. of Math. (2) 161 883-924. MR2153402
10. SCHRAMM, O. (2007). Conformally invariant scaling limits: An overview and a collection of problems. In International Congress of Mathematicians 1 513-543. EMS, Zürich. MR2334202
11. SCHRAMM, O. (2000). Scaling limits of loop-erased random walks and uniform spanning trees. Israel J. Math. 118 221-288. MR1776084
12. SCHRAMM, O. and SHEFFIELD, S. Contour lines of the two-dimensional discrete Gaussian free field. Available at arXiv:math.PR/ 0605337.
13. SMIRNOV, S. (2001). Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits. C. R. Acad. Sci. Paris Sér. I Math. 333 239-244. MR1851632
14. ZHAN, D. (2004). Stochastic Loewner evolution in doubly connected domains. Probab. Theory Related Fields 129 340-380. MR2128237
15. ZHAN, D. (2004). Duality of chordal SLE. Available at arXiv:0712.0332. Invent. Math. To appear.
16. ZHAN, D. (2006). Some properties of annulus SLE. Electron. J. Probab. 11 1069-1093. MR2268538
17. ZHAN, D. (2008). The scaling limits of planar LERW in finitely connected domains. Ann. Probab. 36 467-529.