-
2
-
-
0040426391
-
Optimization problems and replica symmetry breaking in finite connectivity spin glasses
-
Monasson R 1998 Optimization problems and replica symmetry breaking in finite connectivity spin glasses J. Phys. A: Math. Gen. 31 513
-
(1998)
J. Phys. A: Math. Gen.
, vol.31
, Issue.2
, pp. 513
-
-
Monasson, R.1
-
3
-
-
0038401954
-
The Bethe lattice spin glass revisited
-
Mézard M and Parisi G 2001 The Bethe lattice spin glass revisited Eur. Phys. J. B 20 217
-
(2001)
Eur. Phys. J.
, vol.20
, Issue.2
, pp. 217
-
-
Mézard, M.1
Parisi, G.2
-
4
-
-
0001396998
-
Statistical theory of superlattices
-
Bethe H A 1935 Statistical theory of superlattices Proc. R. Soc. A 150 552
-
(1935)
Proc. R. Soc.
, vol.150
, Issue.871
, pp. 552
-
-
Bethe, H.A.1
-
5
-
-
0242309054
-
The cavity method at zero temperature
-
Mézard M and Parisi G 2003 The cavity method at zero temperature J. Stat. Phys. 111 1
-
(2003)
J. Stat. Phys.
, vol.111
, pp. 1
-
-
Mézard, M.1
Parisi, G.2
-
6
-
-
0037008520
-
Analytic and algorithmic solution of random satisfiability problems
-
Mézard M, Parisi G and Zecchina R 2002 Analytic and algorithmic solution of random satisfiability problems Science 297 812
-
(2002)
Science
, vol.297
, Issue.5582
, pp. 812
-
-
Mézard, M.1
Parisi, G.2
Zecchina, R.3
-
7
-
-
37649031218
-
The random k-satisfiability problem: From an analytic solution to an efficient algorithm
-
Mézard M and Zecchina R 2002 The random k-satisfiability problem: from an analytic solution to an efficient algorithm Phys. Rev. E 66 056126
-
(2002)
Phys. Rev.
, vol.66
, Issue.5
, pp. 056126
-
-
Mézard, M.1
Zecchina, R.2
-
8
-
-
27744500467
-
How to compute loop corrections to Bethe approximation
-
Montanari A and Rizzo T 2005 How to compute loop corrections to Bethe approximation J. Stat. Mech. P10011
-
(2005)
J. Stat. Mech.
, vol.2005
, Issue.10
, pp. 10011
-
-
Montanari, A.1
Rizzo, T.2
-
9
-
-
84856375026
-
Loop expansion around the Bethe-Peierls approximation for lattice models
-
Parisi G and Slanina F 2006 Loop expansion around the Bethe-Peierls approximation for lattice models J. Stat. Mech. L02003
-
(2006)
J. Stat. Mech.
, vol.2006
, Issue.2
, pp. 02003
-
-
Parisi, G.1
Slanina, F.2
-
10
-
-
33744795452
-
Loop calculus in statistical physics and information science
-
Chertkov M and Chernyak V Y 2006 Loop calculus in statistical physics and information science Phys. Rev. E 73 065102(R)
-
(2006)
Phys. Rev.
, vol.73
, Issue.6
, pp. 065102
-
-
Chertkov, M.1
Chernyak, V.Y.2
-
11
-
-
42749102104
-
Loop series for discrete statistical models on graphs
-
Chertkov M and Chernyak V Y 2006 Loop series for discrete statistical models on graphs J. Stat. Mech. P06009
-
(2006)
J. Stat. Mech.
, vol.2006
, Issue.6
, pp. 06009
-
-
Chertkov, M.1
Chernyak, V.Y.2
-
12
-
-
21244448624
-
Long-range frustration in a spin-glass model of the vertex-cover problem
-
Zhou H 2005 Long-range frustration in a spin-glass model of the vertex-cover problem Phys. Rev. Lett. 94 217203
-
(2005)
Phys. Rev. Lett.
, vol.94
, Issue.21
, pp. 217203
-
-
Zhou, H.1
-
13
-
-
21244445834
-
Long-range frustration in finite connectivity spin glasses: A mean-field theory and its application to the random k-satisfiability problem
-
Zhou H 2005 Long-range frustration in finite connectivity spin glasses: a mean-field theory and its application to the random k-satisfiability problem New J. Phys. 7 123
-
(2005)
New J. Phys.
, vol.7
, Issue.1
, pp. 123
-
-
Zhou, H.1
-
15
-
-
1342304916
-
Instability of one-step replica-symmetry-broken phase in satisfiability problems
-
Montanari A, Parisi G and Ricci-Tersenghi F 2004 Instability of one-step replica-symmetry-broken phase in satisfiability problems J. Phys. A: Math. Gen. 37 2073
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
, Issue.6
, pp. 2073
-
-
Montanari, A.1
Parisi, G.2
Ricci-Tersenghi, F.3
-
16
-
-
0242509820
-
Statistical mechanics of the vertex-cover problem
-
Hartmann A K and Weigt M 2003 Statistical mechanics of the vertex-cover problem J. Phys. A: Math. Gen. 36 11069
-
(2003)
J. Phys. A: Math. Gen.
, vol.36
, Issue.43
, pp. 11069
-
-
Hartmann, A.K.1
Weigt, M.2
-
17
-
-
0034886590
-
Random 2-sat: Results and problems
-
Fernandez de la Vega W 2001 Random 2-sat: results and problems Theor. Comput. Sci. 265 131
-
(2001)
Theor. Comput. Sci.
, vol.265
, Issue.1-2
, pp. 131
-
-
Fernandez De La Vega, W.1
-
18
-
-
0242481661
-
On the nature of the low-temperature phase in discontinuous mean-field spin glasses
-
Montanari A and Ricci-Tersenghi F 2003 On the nature of the low-temperature phase in discontinuous mean-field spin glasses Eur. Phys. J. B 33 339
-
(2003)
Eur. Phys. J.
, vol.33
, Issue.3
, pp. 339
-
-
Montanari, A.1
Ricci-Tersenghi, F.2
-
19
-
-
0001240288
-
Spin glasses with p-spin interactions
-
Gardner E 1985 Spin glasses with p-spin interactions Nucl. Phys. B 257 747
-
(1985)
Nucl. Phys.
, vol.257
, pp. 747
-
-
Gardner, E.1
-
22
-
-
33750058872
-
Message passing for vertex covers
-
Weigt M and Zhou H 2006 Message passing for vertex covers Phys. Rev. E 74 046110
-
(2006)
Phys. Rev.
, vol.74
, Issue.4
, pp. 046110
-
-
Weigt, M.1
Zhou, H.2
-
23
-
-
34247646554
-
Boltzmann distribution of free energies in a finite-connectivity spin-glass system and the cavity approach
-
Zhou H 2007 Boltzmann distribution of free energies in a finite-connectivity spin-glass system and the cavity approach Frontiers Phys. China 2 238
-
(2007)
Frontiers Phys. China
, vol.2
, Issue.2
, pp. 238
-
-
Zhou, H.1
|