-
1
-
-
0007122530
-
The geometry of critical percolation and conformal invariance
-
(Xiamen), World Scientific Publishing, River Edge, NJ
-
Aizenman, M., The geometry of critical percolation and conformal invariance. In STATPHYS 19 (Xiamen, 1995),World Scientific Publishing, River Edge, NJ, 1996, 104-120.
-
(1995)
STATPHYS 19
, pp. 104-120
-
-
Aizenman, M.1
-
2
-
-
0001056718
-
Hölder regularity and dimension bounds for random curves
-
Aizenman, M., Burchard, A., Hölder regularity and dimension bounds for random curves. Duke Math. J. 99 (1999), 419-453.
-
(1999)
Duke Math. J.
, vol.99
, pp. 419-453
-
-
Aizenman, M.1
Burchard, A.2
-
3
-
-
0033415760
-
Scaling limits for minimal and random spanning trees in two dimensions
-
Aizenman, M., Burchard, A., Newman, C. M., Wilson, D. B., Scaling limits for minimal and random spanning trees in two dimensions. Random Structures Algorithms 15 (1999), 319-367.
-
(1999)
Random Structures Algorithms
, vol.15
, pp. 319-367
-
-
Aizenman, M.1
Burchard, A.2
Newman, C.M.3
Wilson, D.B.4
-
9
-
-
0000898051
-
Critical percolation in finite geometries
-
Cardy, J. L., Critical percolation in finite geometries. J. Phys. A 25 (1992), L201-L206.
-
(1992)
J. Phys. A
, vol.25
-
-
Cardy, J.L.1
-
10
-
-
20444484481
-
SLE for theoretical physicists
-
Cardy, J., SLE for theoretical physicists. Ann. Physics 318 (2005), 81-118.
-
(2005)
Ann. Physics
, vol.318
, pp. 81-118
-
-
Cardy, J.1
-
11
-
-
0041860089
-
Percolation
-
Second edition, Springer-Verlag, Berlin
-
Grimmett, G., Percolation. Second edition, Grundlehren Math.Wiss. 321, Springer-Verlag, Berlin 1999.
-
(1999)
Grundlehren Math.Wiss.
, vol.321
-
-
Grimmett, G.1
-
12
-
-
48249104694
-
The random-cluster model
-
Springer-Verlag, Berlin
-
Grimmett, G., The Random-Cluster Model.Grundlehren Math.Wiss. 333, Springer-Verlag, Berlin 2006.
-
(2006)
Grundlehren Math.Wiss.
, vol.333
-
-
Grimmett, G.1
-
13
-
-
0000541253
-
Two-dimensional Brownian motion and harmonic functions
-
Kakutani, Sh., Two-dimensional Brownian motion and harmonic functions. Proc. Imp. Acad. Tokyo 20 (1944), 706-714.
-
(1944)
Proc. Imp. Acad. Tokyo
, vol.20
, pp. 706-714
-
-
Kakutani, Sh.1
-
14
-
-
13844304606
-
Crystal statistics III. Short-range order in a binary ising lattice
-
Kaufman, B., Onsager, L., Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice. Phys. Rev. 76 (1949), 1244-1252.
-
(1949)
Phys. Rev.
, vol.76
, pp. 1244-1252
-
-
Kaufman, B.1
Onsager, L.2
-
15
-
-
3543011408
-
A guide to stochastic Löwner evolution and its applications
-
Kager, W., Nienhuis, B., A guide to stochastic Löwner evolution and its applications. J. Statist. Physics, 115 (2004), 1149-1229.
-
(2004)
J. Statist. Physics
, vol.115
, pp. 1149-1229
-
-
Kager, W.1
Nienhuis, B.2
-
16
-
-
0034345586
-
Conformal invariance of domino tiling
-
Kenyon, R., Conformal invariance of domino tiling. Ann. Probab. 28 (2000), 759-795.
-
(2000)
Ann. Probab.
, vol.28
, pp. 759-795
-
-
Kenyon, R.1
-
17
-
-
0035566988
-
Dominos and the Gaussian free field
-
Kenyon, R., Dominos and the Gaussian free field. Ann. Probab. 29 (2001), 1128-1137.
-
(2001)
Ann. Probab.
, vol.29
, pp. 1128-1137
-
-
Kenyon, R.1
-
18
-
-
0003222070
-
Percolation theory for mathematicians
-
Birkhäuser, Boston
-
Kesten, H., Percolation Theory for Mathematicians. Progr. Probab. Statist.2, Birkhäuser, Boston 1982.
-
(1982)
Progr. Probab. Statist.
, vol.2
-
-
Kesten, H.1
-
19
-
-
0001755621
-
Scaling relations for 2D-percolation
-
Kesten, H., Scaling relations for 2D-percolation. Comm. Math. Phys. 109 (1987), 109-156.
-
(1987)
Comm. Math. Phys.
, vol.109
, pp. 109-156
-
-
Kesten, H.1
-
20
-
-
0003002413
-
Conformal invariance in two-dimensional percolation
-
Langlands, R., Pouliot, Ph., Saint-Aubin, Y., Conformal invariance in two-dimensional percolation. Bull. Amer. Math. Soc. (N.S.) 30 (1994), 1-61.
-
(1994)
Bull. Amer. Math. Soc. (N.S.)
, vol.30
, pp. 1-61
-
-
Langlands, R.1
Pouliot, Ph.2
Saint-Aubin, Y.3
-
21
-
-
0034341450
-
Universality and conformal invariance for the Ising model in domains with boundary
-
Langlands, R. P., Lewis, M.-A., Saint-Aubin,Y., Universality and conformal invariance for the Ising model in domains with boundary. J. Statist. Phys. 98 (2000), 131-244.
-
(2000)
J. Statist. Phys.
, vol.98
, pp. 131-244
-
-
Langlands, R.P.1
Lewis, M.-A.2
Saint-Aubin, Y.3
-
22
-
-
33646527544
-
Conformally invariant processes in the plane
-
Amer. Math. Soc., Providence, RI
-
Lawler, G. F., Conformally Invariant Processes in the Plane. Math. Surveys Monogr. 114, Amer. Math. Soc., Providence, RI, 2005.
-
(2005)
Math. Surveys Monogr.
, vol.114
-
-
Lawler, G.F.1
-
23
-
-
2142809825
-
Conformal invariance of planar loop-erased random walks and uniform spanning trees
-
Lawler, G. F., Schramm, O.,Werner,W., Conformal invariance of planar loop-erased random walks and uniform spanning trees. Ann. Probab. 32 (2004), 939-995.
-
(2004)
Ann. Probab.
, vol.32
, pp. 939-995
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
25
-
-
0000942409
-
Untersuchungen über schlichte konforme Abbildung des Einheitskreises I
-
Löwner, K., Untersuchungen über schlichte konforme Abbildung des Einheitskreises, I. Math. Ann. 89 (1923), 103-121.
-
(1923)
Math. Ann.
, vol.89
, pp. 103-121
-
-
Löwner, K.1
-
26
-
-
15944379750
-
The self-avoiding walk
-
Birkhäuser, Boston
-
Madras, N., Slade, G., The Self-Avoiding Walk. Probab. Appl., Birkhäuser, Boston 1993.
-
(1993)
Probab. Appl.
-
-
Madras, N.1
Slade, G.2
-
27
-
-
0003873267
-
-
Harvard University Press, Cambridge, MA
-
McCoy, B. M., Wu, T. T., The two-dimensional Ising model. Harvard University Press, Cambridge, MA, 1973.
-
(1973)
The Two-dimensional Ising Model
-
-
McCoy, B.M.1
Wu, T.T.2
-
28
-
-
0000442326
-
Exact critical point and critical exponents of O(n) models in two dimensions
-
Nienhuis, B., Exact critical point and critical exponents of O(n) models in two dimensions. Phys. Rev. Lett. 49 (1982), 1062-1065.
-
(1982)
Phys. Rev. Lett.
, vol.49
, pp. 1062-1065
-
-
Nienhuis, B.1
-
29
-
-
29444434031
-
Coulomb gas description of 2-D critical behaviour
-
Nienhuis, B., Coulomb gas description of 2-D critical behaviour. J. Statist. Phys. 34 (1984), 731-761.
-
(1984)
J. Statist. Phys.
, vol.34
, pp. 731-761
-
-
Nienhuis, B.1
-
30
-
-
23844467552
-
Basic properties of SLE
-
Rohde, S., Schramm, O., Basic properties of SLE. Ann. of Math. 161 (2005), 883-924.
-
(2005)
Ann. of Math.
, vol.161
, pp. 883-924
-
-
Rohde, S.1
Schramm, O.2
-
32
-
-
0000614574
-
Scaling limits of loop-erased random walks and uniform spanning trees
-
Schramm, O., Scaling limits of loop-erased random walks and uniform spanning trees. Israel J. Math. 118 (2000), 221-288.
-
(2000)
Israel J. Math.
, vol.118
, pp. 221-288
-
-
Schramm, O.1
-
33
-
-
0010699019
-
A percolation formula
-
Schramm, O., A percolation formula. Elect. Comm. Probab. 6 (2001) 115-120.
-
(2001)
Elect. Comm. Probab.
, vol.6
, pp. 115-120
-
-
Schramm, O.1
-
34
-
-
84878065831
-
Conformally invariant scaling limits, an overview and a collection of problems
-
(Madrid), EMS Publishing House, Zürich 2006
-
Schramm, O., Conformally invariant scaling limits, an overview and a collection of problems. In Proceedings of the International Congress of Mathematicians (Madrid, 2006), Volume I, EMS Publishing House, Zürich 2006/2007.
-
(2006)
Proceedings of the International Congress of Mathematicians
, vol.1
-
-
Schramm, O.1
-
35
-
-
29344433474
-
Harmonic explorer and its convergence to SLE4
-
Schramm, O., Sheffield, S., Harmonic explorer and its convergence to SLE4. Ann. Probab. 33 (2005), 2127-2148.
-
(2005)
Ann. Probab.
, vol.33
, pp. 2127-2148
-
-
Schramm, O.1
Sheffield, S.2
-
36
-
-
77957093986
-
Percolation probabilities on the square lattice
-
Seymour, P. D., and Welsh, D. J. A., Percolation probabilities on the square lattice. Ann. Discrete Math. 3 (1978), 227-245.
-
(1978)
Ann. Discrete Math.
, vol.3
, pp. 227-245
-
-
Seymour, P.D.1
Welsh, D.J.A.2
-
37
-
-
0041869040
-
Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits
-
Smirnov, S., Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits. C. R. Acad. Sci. Paris 333 (2001), 239-244.
-
(2001)
C. R. Acad. Sci. Paris
, vol.333
, pp. 239-244
-
-
Smirnov, S.1
-
40
-
-
0035527905
-
Critical exponents for two-dimensional percolation
-
Smirnov, S., Werner, W., Critical exponents for two-dimensional percolation. Math. Res. Lett. 8 (2001), 729-744.
-
(2001)
Math. Res. Lett.
, vol.8
, pp. 729-744
-
-
Smirnov, S.1
Werner, W.2
-
41
-
-
14944350573
-
Random planar curves and Schramm-Löwner evolutions
-
Lecture Notes in Math. 1840, Springer-Verlag, Berlin
-
Werner,W., Random planar curves and Schramm-Löwner evolutions. In Lectures on probability theory and statistics, Lecture Notes in Math. 1840, Springer-Verlag, Berlin 2004, 107-195.
-
(2004)
Lectures on Probability Theory and Statistics
, pp. 107-195
-
-
Werner, W.1
-
43
-
-
0001727650
-
Differential space
-
Wiener, N., Differential space. J. Math. Phys. 58 (1923), 131-174.
-
(1923)
J. Math. Phys.
, vol.58
, pp. 131-174
-
-
Wiener, N.1
-
44
-
-
36149022411
-
The spontaneous magnetization of a two-dimensional Ising model
-
Yang, C. N., The spontaneous magnetization of a two-dimensional Ising model. Phys. Rev. (2) 85 (1952), 808-816.
-
(1952)
Phys. Rev. (2)
, vol.85
, pp. 808-816
-
-
Yang, C.N.1
|