-
1
-
-
0000136970
-
Sharpness of the phase transition in percolation models
-
M. Aizenman and D. J. Barsky, Sharpness of the phase transition in percolation models, Comm Math Phys 108 (1987), 489-526.
-
(1987)
Comm Math Phys
, vol.108
, pp. 489-526
-
-
Aizenman, M.1
Barsky, D.J.2
-
2
-
-
52349084492
-
Uniqueness of the infinite cluster and related results in percolation
-
Minneapolis, Minn, Springer, 1987
-
M. Aizenman, H. Kesten, and C. M. Newman, Uniqueness of the infinite cluster and related results in percolation, in Percolation Theory and Ergodic Theory of Infinite Particle Systems, (Minneapolis, Minn., 1984-1985), Springer, 1987, pp. 13-20.
-
(1984)
Percolation Theory and Ergodic Theory of Infinite Particle Systems
, pp. 13-20
-
-
Aizenman, M.1
Kesten, H.2
Newman, C.M.3
-
3
-
-
33744934258
-
A short proof of the Harris-Kesten Theorem
-
B. Bollobás and O. M. Riordan, A short proof of the Harris-Kesten Theorem, Bull London Math Soc 38 (2006), 470-484.
-
(2006)
Bull London Math Soc
, vol.38
, pp. 470-484
-
-
Bollobás, B.1
Riordan, O.M.2
-
4
-
-
34547197519
-
-
Cambridge University Press, Cambridge, x, 323 pp
-
B. Bollobás and O. Riordan, Percolation, Cambridge University Press, Cambridge, 2006, x + 323 pp.
-
(2006)
Percolation
-
-
Bollobás, B.1
Riordan, O.2
-
5
-
-
0000393829
-
Density and uniqueness in percolation
-
R. M. Burton and M. Keane, Density and uniqueness in percolation, Comm Math Phys 121 (1989), 501-505.
-
(1989)
Comm Math Phys
, vol.121
, pp. 501-505
-
-
Burton, R.M.1
Keane, M.2
-
6
-
-
0041855748
-
On the random-cluster model. I. Introduction and relation to other models
-
C. M. Fortuin and P. W. Kasteleyn, On the random-cluster model. I. Introduction and relation to other models, Physica 57 (1972), 536-564.
-
(1972)
Physica
, vol.57
, pp. 536-564
-
-
Fortuin, C.M.1
Kasteleyn, P.W.2
-
7
-
-
0004246476
-
-
1st edition, Springer, New York, xii, 296 pp
-
G. Grimmett, Percolation, 1st edition, Springer, New York, 1989, xii + 296 pp.
-
(1989)
Percolation
-
-
Grimmett, G.1
-
8
-
-
21344436631
-
The stochastic random-cluster process and the uniqueness of random-cluster measures
-
G. Grimmett, The stochastic random-cluster process and the uniqueness of random-cluster measures, Ann Probab 23 (1995), 1461-1510.
-
(1995)
Ann Probab
, vol.23
, pp. 1461-1510
-
-
Grimmett, G.1
-
9
-
-
0004246476
-
-
2nd edition, Springer, New York, xiv, 444 pp
-
G. Grimmett, Percolation, 2nd edition, Springer, New York, 1999, xiv + 444 pp.
-
(1999)
Percolation
-
-
Grimmett, G.1
-
11
-
-
0002446794
-
A lower bound for the critical probability in a certain percolation process
-
T. E. Harris, A lower bound for the critical probability in a certain percolation process, Proc Cambridge Philos Soc 56 (1960), 13-20.
-
(1960)
Proc Cambridge Philos Soc
, vol.56
, pp. 13-20
-
-
Harris, T.E.1
-
12
-
-
0002697969
-
The critical probability of bond percolation on the square lattice equals 1/2
-
H. Kesten, The critical probability of bond percolation on the square lattice equals 1/2, Comm Math Phys 74 (1980), 41-59.
-
(1980)
Comm Math Phys
, vol.74
, pp. 41-59
-
-
Kesten, H.1
-
14
-
-
0000819241
-
Coincidence of critical points in percolation problems
-
M. V. Menshikov, Coincidence of critical points in percolation problems, Soviet Math Dokl 33 (1986), 856-859.
-
(1986)
Soviet Math Dokl
, vol.33
, pp. 856-859
-
-
Menshikov, M.V.1
-
15
-
-
34250275869
-
A note on percolation
-
L. Russo, A note on percolation, Z Wahrsch Verw Gebiete 43 (1978), 39-48.
-
(1978)
Z Wahrsch Verw Gebiete
, vol.43
, pp. 39-48
-
-
Russo, L.1
-
16
-
-
34250717783
-
Random surfaces
-
vi, 175 pp
-
S. Sheffield, Random surfaces, Astérisque 304 (2005), vi + 175 pp.
-
(2005)
Astérisque
, vol.304
-
-
Sheffield, S.1
-
17
-
-
77957093986
-
-
P. D. Seymour and D. J. A. Welsh, Percolation probabilities on the square lattice, in Advances in Graph Theory (Cambridge Combinatorial Conf., Trinity College, Cambridge, 1977, ed. B. Bollobás). Ann Discrete Math 3 (1978), 227-245.
-
P. D. Seymour and D. J. A. Welsh, Percolation probabilities on the square lattice, in Advances in Graph Theory (Cambridge Combinatorial Conf., Trinity College, Cambridge, 1977, ed. B. Bollobás). Ann Discrete Math 3 (1978), 227-245.
-
-
-
-
18
-
-
21144461581
-
Percolation in the random cluster process and Q-state Potts model
-
D. J. A. Welsh, Percolation in the random cluster process and Q-state Potts model, J Phys A 26(1993), 2471-2483.
-
(1993)
J Phys A
, vol.26
, pp. 2471-2483
-
-
Welsh, D.J.A.1
|