Fetching the paper…

Reading the bibliography…

2009

Disorder chaos and multiple valleys in spin glasses

Chatterjee, Sourav

Original
PDF
Post on X

Understand

We prove that the Sherrington-Kirkpatrick model of spin glasses is chaotic under small perturbations of the couplings at any temperature in the absence of an external field.

The result is proved for two kinds of perturbations: (a) distorting the couplings via Ornstein-Uhlenbeck flows, and (b) replacing a small fraction of the couplings by independent copies.
We further prove that the S-K model exhibits multiple valleys in its energy landscape, in the weak sense that there are many states with near-minimal energy that are mutually nearly orthogonal.
We show that the variance of the free energy of the S-K model is unusually small at any temperature.

Disorder chaos and multiple valleys in spin glasses · Around

Built on

Feller, W. (1971)
1971
Earlier work this paper cites.
Edwards, S. F
1975
Earlier work this paper cites.
Sherrington, D
1975
Earlier work this paper cites.
Benjamini, I., Kalai, G
1978
Earlier work this paper cites.
Derrida, B. (1980)
1980
Earlier work this paper cites.
Derrida, B. (1981)
1981
Earlier work this paper cites.
McKay, S. R., Berger, A. N.,
1982
Earlier work this paper cites.
Fisher, D. S
1986
Earlier work this paper cites.
Aizenman, M., Lebowitz, J. L.,
1987
Earlier work this paper cites.
Bray, A. J
1987
Earlier work this paper cites.
Fisher, D. S
1987
Earlier work this paper cites.
Fröhlich, J
1987
Earlier work this paper cites.

Similar

Mézard, M., Parisi, G.,
1987
Cited alongside, same era.
Comets, F
1995
Cited alongside, same era.
Houdré, C. (1995)
1995
Cited alongside, same era.
Houdré, C
1995
Cited alongside, same era.
Houdré, C
1995
Cited alongside, same era.
Shcherbina, M. V. (1997)
1997
Cited alongside, same era.
Ghirlanda, S
1998
Cited alongside, same era.
Houdré, C., Pérez-Abreu, V
1998
Cited alongside, same era.

Then

Mossel, E., O’Donnell, R
2005
Later among the works it cites.
Schramm, O
2005
Later among the works it cites.
Springer-Verlag, Berlin
Talagrand, M. (2006) · 2006
Later among the works it cites.
Talagrand, M. (2006)
2006
Later among the works it cites.
Katzgraber, H. G
2007
Later among the works it cites.
Panchenko, D
2007
Later among the works it cites.
Talagrand, M. (2007)
2007
Later among the works it cites.
Chatterjee, S. (2008)
2008

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Benjamini, I., Kalai, G

1999

Cited alongside, same era.

Guerra, F

2002

Cited alongside, same era.

Guerra, F. (2003)

2003

Cited alongside, same era.

Spin glasses: a challenge for mathematicians. Cavity and mean field models

Talagrand, M. (2003) · 2003

Cited alongside, same era.

Later among the works it cites.

Chatterjee, S. (2008)

2008

Later among the works it cites.

Garban, C., Pete, G

2008

Later among the works it cites.

Arguin, L.-P

2009

Closest in time.

Panchenko, D. (2009)

2009

Closest in time.