@article{AFST_2004_6_13_1_121_0, author = {Wendelin Werner}, title = {Girsanov{\textquoteright}s transformation for {SLE}$(\kappa ,\rho )$ processes, intersection exponents and hiding exponents}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {121--147}, publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 13}, number = {1}, year = {2004}, zbl = {1059.60099}, mrnumber = {2060031}, language = {en}, url = {https://afst.centre-mersenne.org/item/AFST_2004_6_13_1_121_0/} }
TY - JOUR AU - Wendelin Werner TI - Girsanov’s transformation for SLE$(\kappa ,\rho )$ processes, intersection exponents and hiding exponents JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2004 SP - 121 EP - 147 VL - 13 IS - 1 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_2004_6_13_1_121_0/ LA - en ID - AFST_2004_6_13_1_121_0 ER -
%0 Journal Article %A Wendelin Werner %T Girsanov’s transformation for SLE$(\kappa ,\rho )$ processes, intersection exponents and hiding exponents %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2004 %P 121-147 %V 13 %N 1 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_2004_6_13_1_121_0/ %G en %F AFST_2004_6_13_1_121_0
Wendelin Werner. Girsanov’s transformation for SLE$(\kappa ,\rho )$ processes, intersection exponents and hiding exponents. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 13 (2004) no. 1, pp. 121-147. https://afst.centre-mersenne.org/item/AFST_2004_6_13_1_121_0/
[1] SLE and triangles, Elect. Comm. Probab. 8, p. 28-42 (2003). | MR | Zbl
,[2] SLE(κ,ρ) martingales and duality , preprint (2003).
,[3] Loop-erased random walks in two dimensions: exact critical exponents and winding numbers, Phys. A191, p. 516-522 (1992).
,[4] Random walks and quantum gravity in two dimensions, Phys. Rev. Lett. 81, p. 5489-5492 (1998). | MR | Zbl
,[5] Conformally invariant fractals and potential theory, Phys. Rev. Lett. 84, p. 1363-1367 (2000). | MR | Zbl
,[6] Conformal fractal geometry and boundary quantum gravity, preprint (2003). | MR
,[7] Conformal invariance and intersection of random walks, Phys. Rev. Lett. 61, p. 2514-2517 (1988).
, ,[8] Exact surface and wedge exponents for polymers in two dimensions, Phys. Rev. Lett. 57, p. 3179-3182 (1986). | MR
, ,[9] Loop-erased random walks and total positivity, Trans. Amer. Math. Soc. 353, p. 3563-3583 (2001 ). | MR | Zbl
,[10] Conformal fields, restriction properties, degenerate representations and SLE, C.R. Acad. Sci. Paris 335, p. 947-952 (2002). | MR | Zbl
, ,[11] Long-range properties of spanning trees , J. Math. Phys. 41, p. 1338-1363 (2000 ). | MR | Zbl
,[12] Fractal structure of 2-D quantum gravity, Mod. Phys. Lett. A3, p. 819 (1988). | MR
, , ,[13] Non-intersecting Brownian motions, Math. Phys. El. J. 1, paper no.4 ( 1995). | Zbl
,[14] An introduction to the stochastic Loewner evolution, to appear (2001). | MR
,[15] Values of Brownian intersection exponents I: Half-plane exponents, Acta Mathematica 187, p. 237-273 (2001). | MR | Zbl
, , ,[16] Values of Brownian intersection exponents II: Plane exponents, Acta Mathematica 187, p. 275-308 (2001). | MR | Zbl
, , ,[17] Values of Brownian intersection exponents III: Two-sided exponents, Ann. Inst. Henri Poincaré 38, p. 109-123 (2002). | Numdam | MR | Zbl
, , ,[18] Analyticity of planar Brownian intersection exponents, Acta Mathematica 189, p. 179-201 (2002). | MR | Zbl
, , ,[19] One-arm exponent for critical 2D percolation, Electronic J. Probab. 7, paper no.2 (2002). | MR | Zbl
, , ,[20] Sharp estimates for Brownian non-intersection probabilities, in In and out of equilibrium , V. Sidoravicius Ed., Prog. Probab 51, Birkhäuser , p. 113-131 (2002). | MR | Zbl
, , ,[21] Conformal invariance of planar loop-erased random walks and uniform spanning trees, Ann. Probab., to appear (2001). | MR | Zbl
, , ,[22] On the scaling limit of planar self-avoiding walks, AMS Proc. Symp. Pure Math. Fractal Geometry and Applications, to appear (2002). | MR | Zbl
, , ,[23] Conformal restriction. The chordal case, J. Amer. Math. Soc. 16, p. 917-955 (2003). | MR | Zbl
, , ,[24] Conformal restriction . The radial case, in preparation (2003).
, , ,[25] Intersection exponents for planar Brownian motion, Ann. Prob. 27, p. 1601-1642 (1999). | MR | Zbl
, ,[26] Universality for conformally invariant intersection exponents, J. Eur. Math. Soc. 2, p. 291-328 (2000). | MR | Zbl
, ,[27] The Brownian loop-soup, Probab. Th. Rel. Fields, to appear (2003). | MR | Zbl
, ,[28] Continuous martingales and Brownian motion , Springer, (1991). | MR | Zbl
, ,[29] Basic properties of SLE, Ann. Math., to appear (2001). | MR | Zbl
, ,[30] Scaling limits of loop-erased random walks and uniform spanning trees, Israel J. Math. 118, p. 221-288 (2000). | MR | Zbl
,[31] A percolation formula, Electr. Comm. Prob. 6, p. 115-120 (2001). | MR | Zbl
,[32] Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits, C. R. Acad. Sci. Paris Ser. I Math. 333, p. 239-244 (2001). | MR | Zbl
,[33] Critical exponents for two-dimensional percolation, Math. Res. Lett. 8, p. 729-744 (2001). | MR | Zbl
, ,[34] Brownian beads, Probab. Th. Rel. Fields, to appear (2003). | MR | Zbl
,[35] Random planar curves and Schramm-Loewner Evolutions, Lecture Notes of the 2002 St-Flour summer school, Springer , to appear (2002). | MR | Zbl
,[36] Generating spanning trees more quickly than the cover time, Proc. 28th ACM Symp., p. 296-303 (1996). | MR | Zbl
,