-
2
-
-
36149004829
-
Statistics of two-dimensional lattices with four components
-
J. Ashkin and E. Teller, Statistics of Two-Dimensional Lattices with Four Components, Phys. Rev. 64:178-184 (1943).
-
(1943)
Phys. Rev.
, vol.64
, pp. 178-184
-
-
Ashkin, J.1
Teller, E.2
-
3
-
-
0032178163
-
On the unicity of discontinuous transitions in the two-dimensional Potts and Ashkin-Teller models
-
T. Baker and L. Chayes. On the Unicity of Discontinuous Transitions in the Two-Dimensional Potts and Ashkin-Teller Models, Jour. Stat. Phys. 93:1-15 (1998).
-
(1998)
Jour. Stat. Phys.
, vol.93
, pp. 1-15
-
-
Baker, T.1
Chayes, L.2
-
4
-
-
0000605306
-
Triangular Potts model at its transition temperature, and related models
-
R. J. Baxter, N. H. V. Temperley and S. E. Ashley, Triangular Potts Model at Its Transition Temperature, and Related Models, Proc. R. Soc. A 358:535-539 (1978).
-
(1978)
Proc. R. Soc. A
, vol.358
, pp. 535-539
-
-
Baxter, R.J.1
Temperley, N.H.V.2
Ashley, S.E.3
-
5
-
-
33645916568
-
Applications of an exact duality-decimation transformation for two-dimensional spin systems on a square lattice
-
Theodore W. Burkhardt, Applications of an Exact Duality-Decimation Transformation for Two-Dimensional Spin Systems on a Square Lattice, Physical Review B. 20 no. 7, 2905-2913 (1979).
-
(1979)
Physical Review B.
, vol.20
, Issue.7
, pp. 2905-2913
-
-
Burkhardt, T.W.1
-
6
-
-
0000393829
-
Density and uniqueness in percolation
-
R. M. Burton and M. Keane, Density and Uniqueness in Percolation, Comm. Math. Phys. 121 no. 3, 501-505 (1989).
-
(1989)
Comm. Math. Phys.
, vol.121
, Issue.3
, pp. 501-505
-
-
Burton, R.M.1
Keane, M.2
-
7
-
-
24544464529
-
The correct extension of the fortuin-kasteleyn result to plaquette percolation
-
J. T. Chayes and L. Chayes, The Correct Extension of the Fortuin-Kasteleyn Result to Plaquette Percolation, Nuclear Physics B 235:19-23 (1983).
-
(1983)
Nuclear Physics B
, vol.235
, pp. 19-23
-
-
Chayes, J.T.1
Chayes, L.2
-
9
-
-
0031139546
-
Graphical representations and cluster algorithms I. Discrete spin systems
-
L. Chayes and J. Machta, Graphical Representations and Cluster Algorithms I. Discrete spin systems, Physica A 239:542-601 (1997).
-
(1997)
Physica A
, vol.239
, pp. 542-601
-
-
Chayes, L.1
Machta, J.2
-
10
-
-
0032097196
-
Graphical representations and cluster algorithms II
-
L. Chayes and J. Machta, Graphical Representations and Cluster Algorithms II, Physica A 254:477-516 (1998).
-
(1998)
Physica A
, vol.254
, pp. 477-516
-
-
Chayes, L.1
Machta, J.2
-
11
-
-
0033241781
-
Critical behavior for 2D uniform and disordered ferromagnets at self-dual points
-
L. Chayes and K. Shtengel, Critical Behavior for 2D Uniform and Disordered Ferromagnets at Self-Dual Points, Comm. Math. Phys. 204:353-366 (1999).
-
(1999)
Comm. Math. Phys.
, vol.204
, pp. 353-366
-
-
Chayes, L.1
Shtengel, K.2
-
12
-
-
33646600079
-
Two-dimensional anisotropic n-vector models
-
E. Domany and E. K. Riedel, Two-Dimensional Anisotropic N-Vector Models, Phys. Rev. B 19:5817-5834 (1979).
-
(1979)
Phys. Rev. B
, vol.19
, pp. 5817-5834
-
-
Domany, E.1
Riedel, E.K.2
-
13
-
-
0001440863
-
Generalization of the fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm
-
R. G. Edwards and A. D. Sokal, Generalization of the Fortuin-Kasteleyn- Swendsen-Wang Representation and Monte Carlo Algorithm, Phys. Rev. D. 38:2009-2012 (1988).
-
(1988)
Phys. Rev. D.
, vol.38
, pp. 2009-2012
-
-
Edwards, R.G.1
Sokal, A.D.2
-
14
-
-
0038961507
-
Dimensional Crossover in Selective Site Percolation
-
Essam and Syskes, Dimensional Crossover in Selective Site Percolation, J. Math. Phys. 5:1117-27 (1964).
-
(1964)
J. Math. Phys.
, vol.5
, pp. 1117-1127
-
-
Essam1
Syskes2
-
15
-
-
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 57:536-564 (1972).
-
(1972)
Physica
, vol.57
, pp. 536-564
-
-
Fortuin, C.M.1
Kasteleyn, P.W.2
-
16
-
-
0004246476
-
-
Berlin, New York: Springer Verlag
-
G. Grimmett, Percolation. Berlin, New York: Springer Verlag (1999).
-
(1999)
Percolation
-
-
Grimmett, G.1
-
17
-
-
21344498625
-
Potts models and random-cluster models with many-body interactions
-
G. Grimmett, Potts models and random-cluster models with many-body interactions, J. Stat. Phys. 75:67-121 (1994).
-
(1994)
J. Stat. Phys.
, vol.75
, pp. 67-121
-
-
Grimmett, G.1
-
18
-
-
0040119725
-
On the uniqueness of the infinite open cluster in the percolation model
-
A. Gandolfi, G. Grimmett and L. Russo, On the Uniqueness of the Infinite Open Cluster in the Percolation Model, Comm. Math. Phys. 113:549-552 (1988).
-
(1988)
Comm. Math. Phys.
, vol.113
, pp. 549-552
-
-
Gandolfi, A.1
Grimmett, G.2
Russo, L.3
-
19
-
-
0000412970
-
On the uniqueness of the infinite cluster in dependent two-dimensional site percolation
-
A. Gandolfi, M. Keane and L. Russo, On the Uniqueness of the Infinite Cluster in Dependent Two-Dimensional Site Percolation, Annals of Prob. 16:1147-1157 (1988).
-
(1988)
Annals of Prob.
, vol.16
, pp. 1147-1157
-
-
Gandolfi, A.1
Keane, M.2
Russo, L.3
-
20
-
-
0040810062
-
Exact transition temperature of the Potts model with q states per site for the triangular and honeycomb lattices
-
D. Kim and R. I. Joseph, Exact Transition Temperature of the Potts Model With q States Per Site for the Triangular and Honeycomb Lattices, J. Phys. C. 7:L167 (1974).
-
(1974)
J. Phys. C.
, vol.7
-
-
Kim, D.1
Joseph, R.I.2
-
21
-
-
0141913389
-
Statistics of the two-dimensional ferromagnet
-
H. A. Kramers and G. H. Wannier, Statistics of the Two-Dimensional Ferromagnet, J. Phys. Rev. (2) 60:252-262 (1941).
-
(1941)
J. Phys. Rev. (2)
, vol.60
, pp. 252-262
-
-
Kramers, H.A.1
Wannier, G.H.2
-
23
-
-
0001716835
-
Invaded cluster algorithm for equilibrium critical points
-
J. Machte, Y. S. Choi, A. Lucke, T. Schweizer and L. V. Chayes, Invaded Cluster Algorithm for Equilibrium Critical Points, Phys. Rev. Lett. 75:2792-2795 (1995).
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 2792-2795
-
-
Machte, J.1
Choi, Y.S.2
Lucke, A.3
Schweizer, T.4
Chayes, L.V.5
-
24
-
-
0000819241
-
Coincidence of critical points in percolation problems
-
M. V. Menshikov, Coincidence of Critical Points in Percolation Problems, Soviet Mathematics Doklady 33:856-859 (1986).
-
(1986)
Soviet Mathematics Doklady
, vol.33
, pp. 856-859
-
-
Menshikov, M.V.1
-
25
-
-
0003007052
-
Percolation theory and some applications
-
M. V. Menshikov, S. A., Molchanov and A. F. Sidorenko, Percolation Theory and Some Applications. Itogi Nauki i Techniki, Series of Probability Theory, Mathematical Statistics, Theoretical Cybernetics 24:53-110 (1986).
-
(1986)
Itogi Nauki i Techniki, Series of Probability Theory, Mathematical Statistics, Theoretical Cybernetics
, vol.24
, pp. 53-110
-
-
Menshikov, M.V.1
Molchanov, S.A.2
Sidorenko, A.F.3
-
26
-
-
0040952527
-
Phase transitions in the Ashkin-Teller model
-
C. E. Pfister, Phase Transitions in the Ashkin-Teller Model, J. Slot. Phys. 29:115-118 (1982).
-
(1982)
J. Slot. Phys.
, vol.29
, pp. 115-118
-
-
Pfister, C.E.1
-
27
-
-
0034393238
-
Proof of the vandenBerg-Kesten conjecture
-
D. Reimer, Proof of the vandenBerg-Kesten Conjecture, Combin. Probab. Comput. 9 no. 1, 27-32 (2000).
-
(2000)
Combin. Probab. Comput.
, vol.9
, Issue.1
, pp. 27-32
-
-
Reimer, D.1
-
30
-
-
0000649228
-
The existence of probability measures with given marginals
-
V. Strassen, The Existence of Probability Measures with Given marginals, Ann. Math. Statist. 36:423-439 (1965).
-
(1965)
Ann. Math. Statist.
, vol.36
, pp. 423-439
-
-
Strassen, V.1
-
31
-
-
33747349191
-
Nonuniversal critical dynamics in Monte Carlo simulations
-
R. H. Swendsen and J. S. Wang, Nonuniversal Critical Dynamics in Monte Carlo Simulations, Phys. Rev. Lett. 58:86-88 (1987).
-
(1987)
Phys. Rev. Lett.
, vol.58
, pp. 86-88
-
-
Swendsen, R.H.1
Wang, J.S.2
-
32
-
-
0039123357
-
Duality relation between the Ashkin-Teller and the eight-vertex model
-
F. J. Wegner, Duality Relation Between the Ashkin-Teller and the Eight-Vertex Model, J. Phys. C 5:L131-132 (1972).
-
(1972)
J. Phys. C
, vol.5
-
-
Wegner, F.J.1
-
33
-
-
0000095499
-
Bond percolation on honeycomb and triangular lattices
-
J. C. Wierman, Bond Percolation On Honeycomb and Triangular Lattices, Adv. in Appl. Probab. 13:298-313 (1981).
-
(1981)
Adv. in Appl. Probab.
, vol.13
, pp. 298-313
-
-
Wierman, J.C.1
-
34
-
-
0012519450
-
A bond percolation critical probability determination based on the star-triangle transformation
-
J.C. Wierman, A Bond Percolation Critical Probability Determination Based On the Star-Triangle Transformation, J. Phys. A. 17:1525-1530 (1984).
-
(1984)
J. Phys. A.
, vol.17
, pp. 1525-1530
-
-
Wierman, J.C.1
-
35
-
-
2442667321
-
On the triangular potts model with two- and three-site interaction
-
F. Y. Wu and K. Y. Lin, On the Triangular Potts Model With Two- and Three-Site Interaction, J. Phys. A 13:629-636 (1980).
-
(1980)
J. Phys. A
, vol.13
, pp. 629-636
-
-
Wu, F.Y.1
Lin, K.Y.2
-
36
-
-
0042492825
-
The Potts model
-
F. Y. Wu, The Potts Model, Rev. Mod. Phys. 54:235-268 (1982).
-
(1982)
Rev. Mod. Phys.
, vol.54
, pp. 235-268
-
-
Wu, F.Y.1
-
37
-
-
0343416295
-
Critical point of a triangular Potts model with two- and three-site interactions
-
F. Y. Wu and R. K. P. Zia, Critical Point of a Triangular Potts Model With Two- and Three-Site Interactions, Journal of Physics A. 14:721-727 (1981).
-
(1981)
Journal of Physics A.
, vol.14
, pp. 721-727
-
-
Wu, F.Y.1
Zia, R.K.P.2
|