-
3
-
-
0004219960
-
-
Cambridge University Press, Cambridge
-
B. Bollobás, Random Graphs (Cambridge University Press, Cambridge, 2001).
-
(2001)
Random Graphs
-
-
Bollobás, B.1
-
7
-
-
10944245269
-
-
Private communication
-
Private communication with D. Achlioptas and C. Moore: Using a pretty physical symmetry assumption in the second moment method of Ref. [6], C. Moore found the conjectured lower bound. A complete proof seems, however, very hard and is still missing.
-
-
-
Achlioptas, D.1
Moore, C.2
-
12
-
-
0037165015
-
-
R. Mulet, A. Pagnani, M. Weigt, and R. Zecchina, Phys. Rev. Lett. 89, 268701 (2002).
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 268701
-
-
Mulet, R.1
Pagnani, A.2
Weigt, M.3
Zecchina, R.4
-
13
-
-
0242663429
-
-
A. Braunstein, R. Mulet, A. Pagnani, M. Weigt, and R. Zecchina, Phys. Rev. E 68, 036702 (2003).
-
(2003)
Phys. Rev. E
, vol.68
, pp. 036702
-
-
Braunstein, A.1
Mulet, R.2
Pagnani, A.3
Weigt, M.4
Zecchina, R.5
-
14
-
-
10944233751
-
-
A. Montanari and F. Ricci-Tersenghi, cond-mat/0401649
-
A. Montanari and F. Ricci-Tersenghi, cond-mat/0401649.
-
-
-
-
16
-
-
2942677210
-
-
A. Montanari, M. Müller, and M. Mézard, Phys. Rev. Lett. 92, 185509 (2004); M. Müller, M. Mézard, and A. Montanari, J. Chem. Phys. 120, 11 233 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 185509
-
-
Montanari, A.1
Müller, M.2
Mézard, M.3
-
17
-
-
18244430561
-
-
A. Montanari, M. Müller, and M. Mézard, Phys. Rev. Lett. 92, 185509 (2004); M. Müller, M. Mézard, and A. Montanari, J. Chem. Phys. 120, 11 233 (2004).
-
(2004)
J. Chem. Phys.
, vol.120
, pp. 11233
-
-
Müller, M.1
Mézard, M.2
Montanari, A.3
-
20
-
-
10944225763
-
-
S. Mertens, M. Mézard, and R. Zecchina, cs.cc/0309020
-
S. Mertens, M. Mézard, and R. Zecchina, cs.cc/0309020.
-
-
-
-
21
-
-
2542474986
-
-
O. Rivoire, G. Biroli, O. C. Martin, and M. Mézard, Eur. Phys. J. B 37, 55 (2004).
-
(2004)
Eur. Phys. J. B
, vol.37
, pp. 55
-
-
Rivoire, O.1
Biroli, G.2
Martin, O.C.3
Mézard, M.4
-
33
-
-
3543003164
-
-
S. Cocco, O.Dubois, J. Mandler, and R. Monasson, Phys. Rev. Lett. 90, 047205 (2003).
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 047205
-
-
Cocco, S.1
Dubois, O.2
Mandler, J.3
Monasson, R.4
-
34
-
-
10944272449
-
-
note
-
Note that the local stability of the 1RSB solution is necessary, but not sufficient for demonstrating its correctness. Up to now, however, no model was found which shows a discontinuous transition from 1RSB to a more-step solution. Based on this experience we conjecture a locally stable 1RSB solution to be in fact the exact solution.
-
-
-
-
36
-
-
11644305316
-
-
C. De Dominicis, T. Temesvari, and I. Kondor, J. Phys. IV (France) 8, 13 (1998); Eur. Phys. J. B 11, 629 (1999).
-
(1998)
J. Phys. IV (France)
, vol.8
, pp. 13
-
-
De Dominicis, C.1
Temesvari, T.2
Kondor, I.3
-
37
-
-
0041405477
-
-
C. De Dominicis, T. Temesvari, and I. Kondor, J. Phys. IV (France) 8, 13 (1998); Eur. Phys. J. B 11, 629 (1999).
-
(1999)
Eur. Phys. J. B
, vol.11
, pp. 629
-
-
-
38
-
-
10944256169
-
-
O. Dubois, R. Monasson, B. Selman, and R. Zecchina, Theor. Comput. Sci. 265, special issue (2001).
-
(2001)
Theor. Comput. Sci.
, vol.265
, Issue.SPEC. ISSUE
-
-
Dubois, O.1
Monasson, R.2
Selman, B.3
Zecchina, R.4
-
42
-
-
0043230411
-
-
K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991 ); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998).
-
(1986)
Rev. Mod. Phys.
, vol.58
, pp. 801
-
-
Binder, K.1
Young, A.P.2
-
43
-
-
0003571050
-
-
World Scientific, Singapore
-
K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991 ); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998).
-
(1987)
Spin Glass Theory and Beyond
-
-
Mézard, M.1
Parisi, G.2
Virasoro, M.A.3
-
44
-
-
0004215583
-
-
Cambridge University Press, Cambridge
-
K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991 ); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998).
-
(1991)
Spin Glasses
-
-
Fisher, K.H.1
Hertz, J.A.2
-
45
-
-
0003975020
-
-
World Scientific, Singapore
-
K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991 ); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998).
-
(1998)
Spin Glasses and Random Fields
-
-
Young, A.P.1
-
46
-
-
10944258634
-
-
A. Annibale, A. Cavagna, I. Giardina, G. Parisi, and E. Trevigne, cond-mat/0307465
-
A. Annibale, A. Cavagna, I. Giardina, G. Parisi, and E. Trevigne, cond-mat/0307465; T. Aspelmeier, A. J. Bray, and M. A. Moore, cond-mat/0309113; A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, cond-mat/0309256; A. Cavagna, I. Giardina, and G. Parisi, cond-mat/0312534; G. Parisi and T. Rizzo, cond-mat/0401509.
-
-
-
-
47
-
-
10944231067
-
-
T. Aspelmeier, A. J. Bray, and M. A. Moore, cond-mat/0309113
-
A. Annibale, A. Cavagna, I. Giardina, G. Parisi, and E. Trevigne, cond-mat/0307465; T. Aspelmeier, A. J. Bray, and M. A. Moore, cond-mat/0309113; A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, cond-mat/0309256; A. Cavagna, I. Giardina, and G. Parisi, cond-mat/0312534; G. Parisi and T. Rizzo, cond-mat/0401509.
-
-
-
-
48
-
-
10944250395
-
-
A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, cond-mat/0309256
-
A. Annibale, A. Cavagna, I. Giardina, G. Parisi, and E. Trevigne, cond-mat/0307465; T. Aspelmeier, A. J. Bray, and M. A. Moore, cond-mat/0309113; A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, cond-mat/0309256; A. Cavagna, I. Giardina, and G. Parisi, cond-mat/0312534; G. Parisi and T. Rizzo, cond-mat/0401509.
-
-
-
-
49
-
-
10944271633
-
-
A. Cavagna, I. Giardina, and G. Parisi, cond-mat/0312534
-
A. Annibale, A. Cavagna, I. Giardina, G. Parisi, and E. Trevigne, cond-mat/0307465; T. Aspelmeier, A. J. Bray, and M. A. Moore, cond-mat/0309113; A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, cond-mat/0309256; A. Cavagna, I. Giardina, and G. Parisi, cond-mat/0312534; G. Parisi and T. Rizzo, cond-mat/0401509.
-
-
-
-
50
-
-
10944222606
-
-
G. Parisi and T. Rizzo, cond-mat/0401509
-
A. Annibale, A. Cavagna, I. Giardina, G. Parisi, and E. Trevigne, cond-mat/0307465; T. Aspelmeier, A. J. Bray, and M. A. Moore, cond-mat/0309113; A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, cond-mat/0309256; A. Cavagna, I. Giardina, and G. Parisi, cond-mat/0312534; G. Parisi and T. Rizzo, cond-mat/0401509.
-
-
-
|