The Parisi formula has a unique minimizer

Sherrington, D., Kirkpatrick, S. (1975) Solvable model of a spin glass

1975

Earlier work this paper cites.

Ghatak, S., Sherrington, D. (1977) Crystal field effects in a general S Ising spin glass

1977

Earlier work this paper cites.

Fleming, W. H. (1978) Exit probabilities and optimal stochastic control

1978

Earlier work this paper cites.

Parisi, G. (1979) Infinite number of order parameters for spin-glasses

1979

Earlier work this paper cites.

Parisi, G. (1980) A sequence of approximate solutions to the SK model for spin glasses

1980

Earlier work this paper cites.

Mézard, M., Parisi, G., Virasoro, M. A. (1987) Spin Glass Theory and Beyond. World Scientific Lecture Notes in Physics,

1987

Earlier work this paper cites.

Karatzas, I., Shreve, S. (1991) Brownian motion and stochastic calculus. Second edition. Graduate Texts in Mathematics,

1991

Earlier work this paper cites.

Boué, M., Dupuis, P. (1998) A variational representation for certain functionals of Brownian motion

1998

Cited alongside, same era.

Borell, C. (2000) Diffusion equations and geometric inequalities

2000

Cited alongside, same era.

Guerra, F. (2003) Broken replica symmetry bounds in the mean field spin glass model

2003

Cited alongside, same era.

Panchenko, D. (2005) A question about the Parisi functional

2005

Cited alongside, same era.

Panchenko, D. (2005) Free energy in the generalized Sherrington-Kirkpatrick mean field model

2005

Cited alongside, same era.

Talagrand, M. (2006) Parisi measures

2006

Cited alongside, same era.

Talagrand, M. (2006) Free energy of the spherical mean field model

Original

2006

Later among the works it cites.

Talagrand, M. (2011) Mean field models for spin glasses. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics,

2011

Later among the works it cites.

Auffinger, A., Chen, W.-K. (2013) On properties of Parisi Measures. Submitted. Preprint available at arXiv:1303.3573

Original

2013

Later among the works it cites.

Chen, W.-K. (2013) Partial results on the convexity of the Parisi functional with PDE approach. To appear in

Original

2013

Later among the works it cites.

Panchenko, D. (2013) The Parisi formula for mixed

Original