-
1
-
-
84971791487
-
Upper bounds for the connective constant of self-avoiding walks
-
S. E. Alm. Upper bounds for the connective constant of self-avoiding walks. Combinatorics, Probability and Computing, 4(2):115-136, 1993.
-
(1993)
Combinatorics, Probability and Computing
, vol.4
, Issue.2
, pp. 115-136
-
-
Alm, S.E.1
-
2
-
-
0021521367
-
CYLINDRICAL ALGEBRAIC DECOMPOSITION I: THE BASIC ALGORITHM.
-
D. S. Arnon, G. E. Collins, S. McCallum. Cylindrical Algebraic Decomposition I: The Basic Algorithm. SIAM Journal on Computing, 865-877, 1984. (Pubitemid 15510667)
-
(1984)
SIAM Journal on Computing
, vol.13
, Issue.4
, pp. 865-877
-
-
Arnon, D.S.1
Collins, G.E.2
McCallum, S.3
-
4
-
-
84864384251
-
The self-dual point of the two-dimensional random cluster model is critical for q ≥ 1
-
To appear in Preprint available from the arXiv at
-
V. Beffara and H. Duminil-Copin. The self-dual point of the two-dimensional random cluster model is critical for q ≥ 1. To appear in Probability Theory and Related Fields. Preprint available from the arXiv at: http://arxiv.org/abs/1006.5073
-
Probability Theory and Related Fields
-
-
Beffara, V.1
Duminil-Copin, H.2
-
5
-
-
0030303839
-
A new lower bound for the critical probability of site percolation on the square lattice
-
J. van den Berg and A. Ermakov. A new lower bound for the critical probability of site percolation on the square lattice. Random Structures and Algorithms, 8(3):199-212, 1996.
-
(1996)
Random Structures and Algorithms
, vol.8
, Issue.3
, pp. 199-212
-
-
Van Den Berg, J.1
Ermakov, A.2
-
7
-
-
0039134486
-
Non-monotonic behavior in hard-core and Widom-Rowlinson models
-
G. R. Brightwell, O. Häggström, and P. Winkler. Non-monotonic behavior in hard-core and Widom-Rowlinson models. Journal of Statistical Physics, 94(3):415-435, 1999.
-
(1999)
Journal of Statistical Physics
, vol.94
, Issue.3
, pp. 415-435
-
-
Brightwell, G.R.1
Häggström, O.2
Winkler, P.3
-
8
-
-
0035620807
-
Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields
-
F. Cesi. Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields. Probability Theory and Related Fields, 120(4):569-584, 2001.
-
(2001)
Probability Theory and Related Fields
, vol.120
, Issue.4
, pp. 569-584
-
-
Cesi, F.1
-
9
-
-
0011663981
-
The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
-
R. L. Dobrushin. The problem of uniqueness of a Gibbsian random field and the problem of phase transitions. Functional Analysis and its Applications, 2(4):302-312. 1968.
-
(1968)
Functional Analysis and Its Applications
, vol.2
, Issue.4
, pp. 302-312
-
-
Dobrushin, R.L.1
-
10
-
-
0002498186
-
Constructive unicity criterion
-
J. Fritz, A. Jaffe, and D. Szasz, eds., Birkhäuser, New York
-
R. L. Dobrushin and S. B. Shlosman. Constructive unicity criterion. In Statistical Mechanics and Dynamical Systems, J. Fritz, A. Jaffe, and D. Szasz, eds., Birkhäuser, New York, pp. 347-370, 1985.
-
(1985)
Statistical Mechanics and Dynamical Systems
, pp. 347-370
-
-
Dobrushin, R.L.1
Shlosman, S.B.2
-
11
-
-
5644252784
-
Mixing in time and space for lattice spin systems: A combinatorial view
-
DOI 10.1002/rsa.20004
-
M. E. Dyer, A. Sinclair, E. Vigoda, and D. Weitz. Mixing in time and space for lattice spin systems: A combinatorial view. Random Structures and Algorithms, 24(4):461-479, 2004. (Pubitemid 40031427)
-
(2004)
Random Structures and Algorithms
, vol.24
, Issue.4
, pp. 461-479
-
-
Dyer, M.1
Sinclair, A.2
Vigoda, E.3
Weitz, D.4
-
12
-
-
80052358193
-
-
Preprint, Preprint available from the arXiv at
-
A. Galanis, Q. Ge, D. Štefankovič, E. Vigoda, and L. Yang. Improved Inapproximability Results for Counting Independent Sets in the Hard-Core Model. Preprint, 2011. Preprint available from the arXiv at: http://arxiv.org/abs/1105.5131
-
(2011)
Improved Inapproximability Results for Counting Independent Sets in the Hard-Core Model
-
-
Galanis, A.1
Ge, Q.2
Štefankovič, D.3
Vigoda, E.4
Yang, L.5
-
13
-
-
36849135627
-
Hard-Sphere Lattice Gases. I. Plane-Square Lattice
-
D. S. Gaunt and M. E. Fisher. Hard-Sphere Lattice Gases. I. Plane-Square Lattice. Journal of Chemical Physics, 43(8):2840-2863, 1965.
-
(1965)
Journal of Chemical Physics
, vol.43
, Issue.8
, pp. 2840-2863
-
-
Gaunt, D.S.1
Fisher, M.E.2
-
15
-
-
33645767468
-
Strong Spatial Mixing for Lattice Graphs with Fewer Colours
-
L. Goldberg, R. Martin and M. Paterson. Strong Spatial Mixing for Lattice Graphs with Fewer Colours. SIAM Journal on Computing, 35(2):486-517, 2005.
-
(2005)
SIAM Journal on Computing
, vol.35
, Issue.2
, pp. 486-517
-
-
Goldberg, L.1
Martin, R.2
Paterson, M.3
-
16
-
-
0034356673
-
The complexity of counting colourings and independent sets in sparse graphs and hypergraphs
-
C. Greenhill. The complexity of counting colourings and independent sets in sparse graphs and hypergraphs. Computational Complexity, 9(1):52-72, 2000.
-
(2000)
Computational Complexity
, vol.9
, Issue.1
, pp. 52-72
-
-
Greenhill, C.1
-
17
-
-
38249043088
-
Random generation of combinatorial structures from a uniform distribution distribution
-
M. R. Jerrum, L. G. Valiant, and V. V. Vazirani. Random generation of combinatorial structures from a uniform distribution distribution. Theoretical Computer Science, 43(2-3):169-186, 1986.
-
(1986)
Theoretical Computer Science
, vol.43
, Issue.2-3
, pp. 169-186
-
-
Jerrum, M.R.1
Valiant, L.G.2
Vazirani, V.V.3
-
20
-
-
0001902871
-
Lectures on Glauber dynamics for discrete spin models
-
Lectures on Probability Theory and Statistics (Saint-Flour, 1997)
-
F. Martinelli. Lectures on Glauber dynamics for discrete spin models. Lectures on Probability Theory and Statistics (Saint-Flour, 1997), Lecture Notes in Mathematics, 1717:93-191, 1998.
-
(1998)
Lecture Notes in Mathematics
, vol.1717
, pp. 93-191
-
-
Martinelli, F.1
-
21
-
-
34249767236
-
Approach to equilibrium of Glauber dynamics in the one phase region. I. The attractive case
-
F. Martinelli and E. Olivieri. Approach to equilibrium of Glauber dynamics in the one phase region. I. The attractive case. Communications in Mathematical Physics, 161(3):447- 486, 1994.
-
(1994)
Communications in Mathematical Physics
, vol.161
, Issue.3
, pp. 447-486
-
-
Martinelli, F.1
Olivieri, E.2
-
22
-
-
21344495138
-
Approach to equilibrium of Glauber dynamics in the one phase region. II. The general case
-
F. Martinelli and E. Olivieri. Approach to equilibrium of Glauber dynamics in the one phase region. II. The general case. Communications in Mathematical Physics, 161(3):487-514, 1994.
-
(1994)
Communications in Mathematical Physics
, vol.161
, Issue.3
, pp. 487-514
-
-
Martinelli, F.1
Olivieri, E.2
-
23
-
-
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. Physics Review Letters, 65(3-4):117-149, 1944.
-
(1944)
Physics Review Letters
, vol.65
, Issue.3-4
, pp. 117-149
-
-
Onsager, L.1
-
25
-
-
0000732416
-
Phase boundary of Ising antiferromagnets near H = Hc and T = 0: Results from hard-core lattice gas calculations
-
Z. Rácz. Phase boundary of Ising antiferromagnets near H = Hc and T = 0: Results from hard-core lattice gas calculations. Physical Review B, 21(9):4012-4016, 1980.
-
(1980)
Physical Review B
, vol.21
, Issue.9
, pp. 4012-4016
-
-
Rácz, Z.1
-
26
-
-
33748119137
-
-
Ph.D. dissertation, Rutgers University, New Brunswick, NJ, USA
-
D. C. Radulescu. A computer-assisted proof of uniqueness of phase for the hard-square lattice gas model in two dimensions. Ph.D. dissertation, Rutgers University, New Brunswick, NJ, USA,1997.
-
(1997)
A Computer-assisted Proof of Uniqueness of Phase for the Hard-square Lattice Gas Model in Two Dimensions
-
-
Radulescu, D.C.1
-
27
-
-
0009391183
-
The Dobrushin-Shlosman phase uniqueness criterion and applications to hard squares
-
D. C. Radulescu and D. F. Styer. The Dobrushin-Shlosman phase uniqueness criterion and applications to hard squares. Journal of Statistical Physics, 49(1-2):281-295, 1987.
-
(1987)
Journal of Statistical Physics
, vol.49
, Issue.1-2
, pp. 281-295
-
-
Radulescu, D.C.1
Styer, D.F.2
-
30
-
-
69149093392
-
Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting
-
D. Štefankovič, S. Vempala, and E. Vigoda. Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting. Journal of the ACM, 56(3):1-36, 2009.
-
(2009)
Journal of the ACM
, vol.56
, Issue.3
, pp. 1-36
-
-
Štefankovič, D.1
Vempala, S.2
Vigoda, E.3
-
32
-
-
0000142982
-
The Complexity of Enumeration and Reliability Problems
-
L. G. Valiant. The Complexity of Enumeration and Reliability Problems. SIAM J. Computing, 8(3):410-421, 1979.
-
(1979)
SIAM J. Computing
, vol.8
, Issue.3
, pp. 410-421
-
-
Valiant, L.G.1
-
34
-
-
84863323570
-
-
Data is available from
-
Data is available from: http://www.cc.gatech.edu/~vigoda/hardcore.html
-
-
-
-
35
-
-
84863307608
-
-
See
-
See: http://reference.wolfram.com/mathematica/tutorial/ RealPolynomialSystems.html
-
-
-
-
36
-
-
84863303043
-
-
The full version is available from the arXiv at
-
The full version is available from the arXiv at: http://arxiv.org/abs/ 1105.0914
-
-
-
|