-
1
-
-
0007122530
-
The geometry of critical percolation and conformal invariance
-
World Sci. Publishing, River Edge, NJ
-
M. Aizenman, "The geometry of critical percolation and conformal invariance", in STATPHYS 19 (Xiamen, 1995), World Sci. Publishing, River Edge, NJ, 1996, pp. 104-120.
-
(1996)
STATPHYS 19 (Xiamen, 1995)
, pp. 104-120
-
-
Aizenman, M.1
-
2
-
-
0001056718
-
Holder regularity and dimension bounds for random curves
-
M. Aizenman, A. Burchard, "Holder regularity and dimension bounds for random curves", Duke Math. J. 99, 419-453 (1999).
-
(1999)
Duke Math. J
, vol.99
, pp. 419-453
-
-
Aizenman, M.1
Burchard, A.2
-
3
-
-
0000360856
-
Path crossing exponents and the external perimeter in 2D percolation
-
M. Aizenman, B. Duplantier, A. Aharony, "Path crossing exponents and the external perimeter in 2D percolation", Phys. Rev. Let. 83, 1359-1362 (1999).
-
(1999)
Phys. Rev. Let
, vol.83
, pp. 1359-1362
-
-
Aizenman, M.1
Duplantier, B.2
Aharony, A.3
-
4
-
-
0000898051
-
Critical percolation in finite geometries
-
J. L. Cardy, "Critical percolation in finite geometries", J. Phys. A 25, L201-L206 (1992).
-
(1992)
J. Phys. A
, vol.25
, pp. L201-L206
-
-
Cardy, J.L.1
-
5
-
-
0004246476
-
-
Springer-Verlag, Berlin, second edition
-
G. Grimmett, Percolation, Springer-Verlag, Berlin, second edition, 1999.
-
(1999)
Percolation
-
-
Grimmett, G.1
-
6
-
-
84967400595
-
A guide to stochastic Lowner evolution and its applications
-
to appear; arXiv:math-ph/0312056
-
W. Kager, B. Nienhuis, "A guide to stochastic Lowner evolution and its applications", J. of Statistical Physics, to appear; arXiv:math-ph/0312056.
-
J. of Statistical Physics
-
-
Kager, W.1
Nienhuis, B.2
-
8
-
-
0001755621
-
Scaling relations for 2D-percolation
-
H. Kesten, "Scaling relations for 2D-percolation", Comm. Math. Phys. 109, 109-156 (1987).
-
(1987)
Comm. Math. Phys
, vol.109
, pp. 109-156
-
-
Kesten, H.1
-
9
-
-
0003002413
-
Conformal invariance in two-dimensional percolation
-
R. Langlands, Ph. Pouliot, Y. Saint-Aubin, Conformal invariance in two-dimensional percolation, Bull. Amer. Math. Soc. (N.S.) 30, 1-61 (1994).
-
(1994)
Bull. Amer. Math. Soc. (N.S.)
, vol.30
, pp. 1-61
-
-
Langlands, R.1
Pouliot, P.2
Saint-Aubin, Y.3
-
11
-
-
0012566413
-
Values of Brownian intersection exponents I: Halfplane exponents
-
G. F. Lawler, O. Schramm, W. Werner, "Values of Brownian intersection exponents I: Halfplane exponents", Acta Mathematica 187 237-273 (2001).
-
(2001)
Acta Mathematica
, vol.187
, pp. 237-273
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
12
-
-
0000467140
-
Values of Brownian intersection exponents II: Plane exponents
-
G. F. Lawler, O. Schramm, W. Werner, "Values of Brownian intersection exponents II: Plane exponents", Acta Mathematica 187, 275-308 (2001).
-
(2001)
Acta Mathematica
, vol.187
, pp. 275-308
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
13
-
-
0242384526
-
One-arm exponent for 2D critical percolation
-
G. F. Lawler, O. Schramm, W. Werner, "One-arm exponent for 2D critical percolation", Electron. J. Probab. 7, 13 pages (2001).
-
(2001)
Electron. J. Probab
, vol.7
, pp. 13
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
14
-
-
0141542070
-
Conformal invariance of planar loop-erased random walks and uniform spanning trees
-
to appear; arXiv:math.PR/0112234
-
G. F. Lawler, O. Schramm, W. Werner, "Conformal invariance of planar loop-erased random walks and uniform spanning trees", Ann. Prob., to appear; arXiv:math.PR/0112234.
-
Ann. Prob
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
15
-
-
0000942409
-
Untersuchungen über schlichte konforme Abbildung des Einheitskreises, I
-
K. Löwner, "Untersuchungen über schlichte konforme Abbildung des Einheitskreises, I", Math. Ann. 89, 103-121 (1923).
-
(1923)
Math. Ann
, vol.89
, pp. 103-121
-
-
Löwner, K.1
-
16
-
-
0242371637
-
Basic properties of SLE
-
to appear; arXiv: math. PR/0106036
-
S. Rohde, O. Schramm, "Basic properties of SLE", Ann. Math., to appear; arXiv: math. PR/0106036 (2001).
-
(2001)
Ann. Math
-
-
Rohde, S.1
Schramm, O.2
-
17
-
-
0000614574
-
Scaling limits of loop-erased random walks and uniform spanning trees
-
O. Schramm, "Scaling limits of loop-erased random walks and uniform spanning trees", Israel J. Math. 118, 221-288 (2000).
-
(2000)
Israel J. Math
, vol.118
, pp. 221-288
-
-
Schramm, O.1
-
18
-
-
0041869040
-
Critical percolation in the plane: Conformai invariance, Cardy’s formula, scaling limits
-
S. Smirnov, "Critical percolation in the plane: Conformai invariance, Cardy’s formula, scaling limits", C. R. Acad. Sci. Paris 333, 239-244 (2001).
-
(2001)
C. R. Acad. Sci. Paris
, vol.333
, pp. 239-244
-
-
Smirnov, S.1
-
19
-
-
0035527905
-
Critical exponents for two-dimensional percolation
-
S. Smirnov, W. Werner, Critical exponents for two-dimensional percolation, Math. Res. Lett. 8, 729-744 (2001).
-
(2001)
Math. Res. Lett
, vol.8
, pp. 729-744
-
-
Smirnov, S.1
Werner, W.2
-
20
-
-
0037835311
-
Random planar curves and Schramm-Lôwner Evolutions
-
LNM, Springer, to appear; arXiv:math.PR/0303354
-
W. Werner, "Random planar curves and Schramm-Lôwner Evolutions", in Lecture notes from the 2002 Saint-Flour Summer School, LNM, Springer, to appear; arXiv:math.PR/0303354.
-
Lecture notes from the 2002 Saint-Flour Summer School
-
-
Werner, W.1
|