-
2
-
-
0002891519
-
Hard hexagons: Exact solution
-
R.J. Baxter, Hard hexagons: exact solution, J. Phys. A. 13 (1980) L61-L70.
-
(1980)
J. Phys. A.
, vol.13
-
-
Baxter, R.J.1
-
3
-
-
0039414252
-
-
E.G.D. Cohen (Ed.), North-Holland, Amsterdam
-
R.J. Baxter, in: E.G.D. Cohen (Ed.), Fundamental Problems in Statistical Mechanics, Vol. 5, North-Holland, Amsterdam, 1981, pp. 109-41.
-
(1981)
Fundamental Problems in Statistical Mechanics
, vol.5
, pp. 109-141
-
-
Baxter, R.J.1
-
4
-
-
0002265756
-
The inversion relation method for some two-dimensional exactly solved models in lattice statistics
-
R.J. Baxter, The Inversion relation method for some two-dimensional exactly solved models in lattice statistics, J. Stat. Phys. 28 (1982) 1-41.
-
(1982)
J. Stat. Phys.
, vol.28
, pp. 1-41
-
-
Baxter, R.J.1
-
5
-
-
0348095259
-
Combinatorial resolution of systems of differential equations III: A special class of differentiably algebraic series
-
F. Bergeron, C. Reutenauer, Combinatorial resolution of systems of differential equations III: a special class of differentiably algebraic series, European J. Combin. 11 (1990) 501-512.
-
(1990)
European J. Combin.
, vol.11
, pp. 501-512
-
-
Bergeron, F.1
Reutenauer, C.2
-
6
-
-
0002314615
-
A method for the enumeration of various classes of column-convex polygons
-
M. Bousquet-Mélou, A method for the enumeration of various classes of column-convex polygons, Discrete Math. 154 (1996) 1-25.
-
(1996)
Discrete Math.
, vol.154
, pp. 1-25
-
-
Bousquet-Mélou, M.1
-
7
-
-
0041355564
-
New enumerative results on two-dimensional directed animals
-
M. Bousquet-Mélou, New enumerative results on two-dimensional directed animals, Discrete Math. 180 (1998) 73-106.
-
(1998)
Discrete Math.
, vol.180
, pp. 73-106
-
-
Bousquet-Mélou, M.1
-
8
-
-
25544450859
-
-
Private communication
-
M. Bousquet-Mélou, Private communication.
-
-
-
Bousquet-Mélou, M.1
-
9
-
-
0007882280
-
Enumeration of three-dimensional convex polygons
-
M. Bousquet-Mélou, A.J. Guttmann, Enumeration of three-dimensional convex polygons, Ann. Combin. 1 (1997) 27-53.
-
(1997)
Ann. Combin.
, vol.1
, pp. 27-53
-
-
Bousquet-Mélou, M.1
Guttmann, A.J.2
-
10
-
-
0009797262
-
Three-dimensional self-avoiding convex polygons
-
M. Bousquet-Mélou, A.J. Guttmann, Three-dimensional self-avoiding convex polygons, Phys. Rev. E 55 (1997) R6323-R6326.
-
(1997)
Phys. Rev. E
, vol.55
-
-
Bousquet-Mélou, M.1
Guttmann, A.J.2
-
11
-
-
0000827730
-
Empilements de segments et q-énumération de polyominos convexes dirigés
-
M. Bousquet-Mélou, X. Viennot, Empilements de segments et q-énumération de polyominos convexes dirigés, J. Combin. Theory Ser. A 60 (1992) 196-224.
-
(1992)
J. Combin. Theory Ser. A
, vol.60
, pp. 196-224
-
-
Bousquet-Mélou, M.1
Viennot, X.2
-
12
-
-
0010701653
-
The spontaneous magnetisation of a two-dimensional rectangular Ising model
-
C.H. Chang, The spontaneous magnetisation of a two-dimensional rectangular Ising model, Phys. Rev. 88 (1952) 1422-1426.
-
(1952)
Phys. Rev.
, vol.88
, pp. 1422-1426
-
-
Chang, C.H.1
-
13
-
-
0002516415
-
Critical behaviour of Ising systems on extremely anisotropic lattices
-
C.A.W. Citteur, P.W. Kasteleyn, Critical behaviour of Ising systems on extremely anisotropic lattices, Physica 62 (1972) 17-40.
-
(1972)
Physica
, vol.62
, pp. 17-40
-
-
Citteur, C.A.W.1
Kasteleyn, P.W.2
-
14
-
-
0011628524
-
Critical behaviour of ising systems on extremely anisotropic lattices
-
C.A.W. Citteur, P.W. Kasteleyn, Critical behaviour of Ising systems on extremely anisotropic lattices, Physica 64 (1973) 415-426.
-
(1973)
Physica
, vol.64
, pp. 415-426
-
-
Citteur, C.A.W.1
Kasteleyn, P.W.2
-
15
-
-
0343416282
-
Critical behaviour of ising systems on extremely anisotropic lattices
-
C.A.W. Citteur, P.W. Kasteleyn, Critical behaviour of Ising systems on extremely anisotropic lattices, Physica 66 (1973) 94-110.
-
(1973)
Physica
, vol.66
, pp. 94-110
-
-
Citteur, C.A.W.1
Kasteleyn, P.W.2
-
16
-
-
0011692556
-
Critical behaviour of ising systems on extremely anisotropic lattices
-
C.A.W. Citteur, P.W. Kasteleyn, Critical behaviour of Ising systems on extremely anisotropic lattices, Physica 68 (1973) 491-510.
-
(1973)
Physica
, vol.68
, pp. 491-510
-
-
Citteur, C.A.W.1
Kasteleyn, P.W.2
-
17
-
-
0346203982
-
-
Private communication
-
A.R. Conway, Private communication.
-
-
-
Conway, A.R.1
-
18
-
-
21144482806
-
Directed animals on two-dimensional lattices
-
A.R. Conway, R. Brak, A.J. Guttmann, Directed animals on two-dimensional lattices, J. Phys. A. 26 (1993) 3085-3091.
-
(1993)
J. Phys. A.
, vol.26
, pp. 3085-3091
-
-
Conway, A.R.1
Brak, R.2
Guttmann, A.J.3
-
19
-
-
0001127784
-
Square lattice self-avoiding walks and corrections to scaling
-
A.R. Conway, A.J. Guttmann, Square lattice self-avoiding walks and corrections to scaling, Phys. Rev. Lett. 77 (1996) 5284-5287.
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 5284-5287
-
-
Conway, A.R.1
Guttmann, A.J.2
-
21
-
-
0000153912
-
Series expansions from the finite lattice method
-
T. de Neef, I.G. Enting, Series expansions from the finite lattice method, J. Phys. A 10 (1977) 801-805.
-
(1977)
J. Phys. A
, vol.10
, pp. 801-805
-
-
De Neef, T.1
Enting, I.G.2
-
22
-
-
0039308153
-
Enumeration of directed site animals on two-dimensional lattices
-
D. Dhar, M.H. Phani, M. Barma, Enumeration of directed site animals on two-dimensional lattices, J. Phys. A 15 (1982) L279-L284.
-
(1982)
J. Phys. A
, vol.15
-
-
Dhar, D.1
Phani, M.H.2
Barma, M.3
-
23
-
-
4243730339
-
Series expansions from the finite lattice method
-
I.G. Enting, Series expansions from the finite lattice method, Nucl. Phys. B (Proc. Suppl.) 47 (1996) 180-187.
-
(1996)
Nucl. Phys. B (Proc. Suppl.)
, vol.47
, pp. 180-187
-
-
Enting, I.G.1
-
25
-
-
0022319239
-
Analytic models and ambiguity of context-free languages
-
P. Flajolet, Analytic models and ambiguity of context-free languages, Theoret. Comput. Sci. 49 (1987) 283-309.
-
(1987)
Theoret. Comput. Sci.
, vol.49
, pp. 283-309
-
-
Flajolet, P.1
-
26
-
-
0038319487
-
Analytic properties of the free energy of the ice models
-
M.L. Glasser, D.B. Abraham, E.H. Lieb, Analytic properties of the free energy of the Ice models, J. Math. Phys. 13 (1972) 887-900.
-
(1972)
J. Math. Phys.
, vol.13
, pp. 887-900
-
-
Glasser, M.L.1
Abraham, D.B.2
Lieb, E.H.3
-
27
-
-
0033612075
-
On the singularity structure of the 2D ising model susceptibility
-
B. Nickel, On the singularity structure of the 2D ising model susceptibility, J. Phys. A 32 (1999) 3889-3906.
-
(1999)
J. Phys. A
, vol.32
, pp. 3889-3906
-
-
Nickel, B.1
-
28
-
-
0001944678
-
Asymptotic analysis of power series expansions
-
C. Domb, J. Lebowitz (Eds.), Academic Press, New York
-
A.J. Guttmann, Asymptotic analysis of power series Expansions, in: C. Domb, J. Lebowitz (Eds.), Phase Transitions and Critical Phenomena, Vol. 13, Academic Press, New York, 1989, pp. 1-234. (Available from www.ms.unimelb.edu.au/~tonyg)
-
(1989)
Phase Transitions and Critical Phenomena
, vol.13
, pp. 1-234
-
-
Guttmann, A.J.1
-
29
-
-
0346203980
-
-
M.T. Batchelor (Ed.), World Scientific, Singapore
-
A.J. Guttmann, A.R. Conway, in: M.T. Batchelor (Ed.), Statistical Physics on the Eve of the Twenty-First Century, World Scientific, Singapore, 1999.
-
(1999)
Statistical Physics on the Eve of the Twenty-first Century
-
-
Guttmann, A.J.1
Conway, A.R.2
-
30
-
-
0000184073
-
Solvability of some statistical mechanical systems
-
A.J. Guttmann, I.G. Enting, Solvability of some statistical mechanical systems, Phys. Rev. Lett. 76 (1996) 344-347.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 344-347
-
-
Guttmann, A.J.1
Enting, I.G.2
-
31
-
-
0002256869
-
Analytical properties of the Anisotropic Cubic Ising
-
D. Hansel, J.M. Maillard, J. Oitmaa, M.J. Velgakis, Analytical Properties of the Anisotropic Cubic Ising Model, J. Stat. Phys. 48 (1987) 69-80.
-
(1987)
Model, J. Stat. Phys.
, vol.48
, pp. 69-80
-
-
Hansel, D.1
Maillard, J.M.2
Oitmaa, J.3
Velgakis, M.J.4
-
33
-
-
0347465316
-
-
colleagues at INRIA, France.
-
Programs developed by B. Salvy, P. Zimmerman, F. Chyzak, colleagues at INRIA, France. Available from http://pauillac.inria.fr/algo
-
-
-
Salvy, B.1
Zimmerman, P.2
Chyzak, F.3
-
34
-
-
0039043804
-
Symmetry relations in exactly soluble models
-
M.T. Jaekel, J.M. Maillard, Symmetry relations in exactly soluble models, J. Phys. A 15 (1982) 1309-1325.
-
(1982)
J. Phys. A
, vol.15
, pp. 1309-1325
-
-
Jaekel, M.T.1
Maillard, J.M.2
-
35
-
-
0342980998
-
Inverse functional relation on the potts model
-
M.T. Jaekel, J.M. Maillard, Inverse functional relation on the Potts model, J. Phys. A 15 (1982) 2241-2257.
-
(1982)
J. Phys. A
, vol.15
, pp. 2241-2257
-
-
Jaekel, M.T.1
Maillard, J.M.2
-
36
-
-
0011628282
-
A disorder solution for a cubic ising model
-
M.T. Jaekel, J.M. Maillard, A disorder solution for a cubic Ising model, J. Phys. A 18 (1985) 641-651.
-
(1985)
J. Phys. A
, vol.18
, pp. 641-651
-
-
Jaekel, M.T.1
Maillard, J.M.2
-
37
-
-
0011689214
-
A criterion for disorder solutions of spin models
-
M.T. Jaekel, J.M. Maillard, A criterion for disorder solutions of spin models, J. Phys. A 18 (1985) 1229-1238.
-
(1985)
J. Phys. A
, vol.18
, pp. 1229-1238
-
-
Jaekel, M.T.1
Maillard, J.M.2
-
39
-
-
0012003607
-
On the hard hexagon model and the theory of modular functions
-
G.S. Joyce, On the hard hexagon model and the theory of modular functions, Philos. Trans. Roy. Soc. London 325 (1988) 643-706.
-
(1988)
Philos. Trans. Roy. Soc. London
, vol.325
, pp. 643-706
-
-
Joyce, G.S.1
-
40
-
-
0000472034
-
D-finite power series
-
L. Lipshitz, D-finite power series, J. Algebraon 122 (1989) 353-373.
-
(1989)
J. Algebraon
, vol.122
, pp. 353-373
-
-
Lipshitz, L.1
-
42
-
-
0007935826
-
The inversion relation
-
J.M. Maillard, The inversion relation, J. Phys. 46 (1984) 324-419.
-
(1984)
J. Phys.
, vol.46
, pp. 324-419
-
-
Maillard, J.M.1
-
43
-
-
36149012281
-
Crystal statistics I: A two-dimensional model with an order-disorder transition
-
L. Onsager, Crystal statistics I: a two-dimensional model with an order-disorder transition, Phys. Rev. 65 (1944) 117-149.
-
(1944)
Phys. Rev.
, vol.65
, pp. 117-149
-
-
Onsager, L.1
-
44
-
-
21144479360
-
Exact solution of the discrete (1 + 1)-dimensional SOS model with field and surface interactions
-
A.L. Owczarek, T. Prellberg, Exact solution of the discrete (1 + 1)-dimensional SOS model with field and surface interactions, J. Stat. Phys. 70 (1993) 1175-1194.
-
(1993)
J. Stat. Phys.
, vol.70
, pp. 1175-1194
-
-
Owczarek, A.L.1
Prellberg, T.2
-
47
-
-
0000410641
-
Differentiably finite power series
-
R.P. Stanley, Differentiably finite power series, European J. Combin. 1 (1980) 175-188.
-
(1980)
European J. Combin.
, vol.1
, pp. 175-188
-
-
Stanley, R.P.1
-
48
-
-
22244465544
-
A new calculation method for partition functions in some lattice models
-
Y.G. Stroganov, A new calculation method for partition functions in some lattice models, Phys. Lett. 74A (1979) 116-118.
-
(1979)
Phys. Lett.
, vol.74 A
, pp. 116-118
-
-
Stroganov, Y.G.1
-
49
-
-
0001068228
-
Symmetrical properties of two-dimensional ising lattices
-
I. Syozi, S. Naya, Symmetrical properties of two-dimensional Ising lattices, Prog. Theor. Phys. 24 (1960) 829-839.
-
(1960)
Prog. Theor. Phys.
, vol.24
, pp. 829-839
-
-
Syozi, I.1
Naya, S.2
-
51
-
-
22044442555
-
Test of Guttmann and Enting's conjecture in the eight vertex model
-
H. Tsukahara, T. Inami, Test of Guttmann and Enting's conjecture in the Eight Vertex Model, J. Phys. Soc. Japan 67 (1998) 1067-1070.
-
(1998)
J. Phys. Soc. Japan
, vol.67
, pp. 1067-1070
-
-
Tsukahara, H.1
Inami, T.2
-
52
-
-
0002110348
-
Die lange reichweite der regelmassigen atomanordnung in mischkristallen
-
B.L. Van der Waerden, Die lange Reichweite der regelmassigen Atomanordnung in Mischkristallen, Z. Physik 118 (1941) 473-479.
-
(1941)
Z. Physik
, vol.118
, pp. 473-479
-
-
Van Waerden, B.L.D.1
-
53
-
-
0000603921
-
Modular elliptic curves and fermat's last theorem
-
A. Wiles, Modular Elliptic Curves and Fermat's Last Theorem, Ann. Maths. 142 (1995) 443-451.
-
(1995)
Ann. Maths.
, vol.142
, pp. 443-451
-
-
Wiles, A.1
-
54
-
-
0000715867
-
Spin-spin correlation functions for the two-dimensional ising model: Exact theory in the scaling region
-
T.T. Wu, B.M. McCoy, C.A. Tracy, E. Barouch, Spin-spin correlation functions for the two-dimensional Ising model: exact theory in the scaling region, Phys. Rev. B 13 (1976) 316-374.
-
(1976)
Phys. Rev. B
, vol.13
, pp. 316-374
-
-
Wu, T.T.1
McCoy, B.M.2
Tracy, C.A.3
Barouch, E.4
-
55
-
-
0347465315
-
-
Private communication
-
D. Zagier, Private communication.
-
-
-
Zagier, D.1
|