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The Parisi formula for the free energy is among the crown jewels in the theory of spin glasses.
Mathematical analysis of random noise
Stephen O Rice · 1944
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On the Average Number of Real Roots of a Random Algebraic Equation (II)
M Kac · 1948
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Solvable model of a spin-glass
David Sherrington and Scott Kirkpatrick · 1975
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Gaussian Radon measures on locally convex spaces
C Borell · 1976
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Norms of gaussian sample functions
Boris S Cirel’son, Ildar A Ibragimov, and Vladimir N Sudakov · 1976
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Solution of ‘solvable model of a spin glass’
David J. Thouless, Philip W. Anderson, and Richard G. Palmer · 1977
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Stability of the Sherrington-Kirkpatrick solution of a spin glass model
Jairo RL de Almeida and David J Thouless · 1978
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Infinite number of order parameters for spin-glasses
Giorgio Parisi · 1979
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A sequence of approximated solutions to the SK model for spin glasses
Giorgio Parisi · 1980
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Random-energy model: An exactly solvable model of disordered systems
Bernard Derrida · 1981
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Order parameter for spin-glasses
Giorgio Parisi · 1983
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Nature of the spin-glass phase
Marc Mézard, Giorgio Parisi, Nicolas Sourlas, G Toulouse, and Miguel Virasoro · 1984
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Replica symmetry breaking and the nature of the spin glass phase
Marc Mézard, Giorgio Parisi, Nicolas Sourlas, Gérard Toulouse, and Miguel Virasoro · 1984
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Some rigorous results on the Sherrington–Kirkpatrick spin glass model
Michael Aizenman, Joel L Lebowitz, and David Ruelle · 1987
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Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications
Marc Mézard, Giorgio Parisi, and Miguel Angel Virasoro · 1987
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A mathematical reformulation of Derrida’s REM and GREM
David Ruelle · 1987
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The spherical p-spin interaction spin glass model: the statics
Andrea Crisanti and H-J Sommers · 1992
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Partial annealing and overfrustration in disordered systems
Vik Dotsenko, Silvio Franz, and Marc Mezard · 1994
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The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: the high temperature case
Francis Comets and Jacques Neveu · 1995
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Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy
Gérard Ben Arous and Alice Guionnet · 1997
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The thermodynamic limit in mean field spin glass models
Francesco Guerra and Fabio Lucio Toninelli · 2002
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Extended variational principle for the Sherrington-Kirkpatrick spin-glass model
Michael Aizenman, Robert Sims, and Shannon L Starr · 2003
Cited alongside, same era.
Broken replica symmetry bounds in the mean field spin glass model
Francesco Guerra · 2003
Cited alongside, same era.
Free energy of the spherical mean field model
Michel Talagrand · 2006
Cited alongside, same era.
The Parisi formula
Michel Talagrand · 2006
Cited alongside, same era.
A note on Talagrand’s positivity principle
Dmitriy Panchenko · 2007
Cited alongside, same era.
Large Deviations, Guerra’s and ASS Schemes, and the Parisi Hypothesis
Michel Talagrand · 2007
Cited alongside, same era.
Approximate ultrametricity for random measures and applications to spin glasses
Aukosh Jagannath · 2017
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Low temperature asymptotics of spherical mean field spin glasses
Aukosh Jagannath and Ian Tobasco · 2017
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On the energy landscape of spherical spin glasses
Antonio Auffinger and Wei-Kuo Chen · 2018
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A Morita type proof of the replica-symmetric formula for SK
Erwin Bolthausen · 2018
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On the Energy Landscape of the Mixed Even
Wei-Kuo Chen, Madeline Handschy, and Gilad Lerman · 2018
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Bounds on the complexity of replica symmetry breaking for spherical spin glasses
Aukosh Jagannath and Ian Tobasco · 2018
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Greg W. Anderson, Alice Guionnet, and Ofer Zeitouni · 2009
Cited alongside, same era.
Mean Field Models for Spin Glasses. Volume II: Advanced Replica-Symmetry and Low Temperature
Michel Talagrand · 2011
Cited alongside, same era.
Complexity of random smooth functions on the high-dimensional sphere
Antonio Auffinger and Gérard Ben Arous · 2013
Cited alongside, same era.
Random matrices and complexity of spin glasses
Antonio Auffinger, Gérard Ben Arous, and Jiří Černý · 2013
Cited alongside, same era.
The Aizenman-Sims-Starr scheme and Parisi Formula for Mixed
Wei-Kuo Chen · 2013
Cited alongside, same era.
The Parisi ultrametricity conjecture
Dmitry Panchenko · 2013
Cited alongside, same era.
Free Energy Landscapes in Spherical Spin Glasses
Eliran Subag · 2018
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Capacity lower bound for the Ising perceptron
Jian Ding and Nike Sun · 2019
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Geometry and temperature chaos in mixed spherical spin glasses at low temperature: the perturbative regime
Gérard Ben Arous, Eliran Subag, and Ofer Zeitouni · 2020
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A Simple Approach to Chaos for
Ronen Eldan · 2020
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Average Gromov hyperbolicity and the Parisi ansatz
Sourav Chatterjee and Leila Sloman · 2021
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Tight Lipschitz Hardness for Optimizing Mean Field Spin Glasses
Brice Huang and Mark Sellke · 2021
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Following the Ground States of Full-RSB Spherical Spin Glasses
Eliran Subag · 2021
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Triviality of the geometry of mixed p-spin spherical hamiltonians with external field
David Belius, Jiří Černỳ, Shuta Nakajima, and Marius A Schmidt · 2022
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The replica symmetric formula for the SK model revisited
Christian Brennecke and Horng-Tzer Yau · 2022
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Shattering in pure spherical spin glasses
Ahmed El Alaoui, Andrea Montanari, and Mark Sellke · 2023
Closest in time.
Exponential growth of random determinants beyond invariance
Gérard Ben Arous, Paul Bourgade, and Benjamin McKenna · 2023
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A Gaussian Convexity for Logarithmic Moment Generating Functions
Wei-Kuo Chen · 2023
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Strong topological trivialization of multi-species spherical spin glasses
Brice Huang and Mark Sellke · 2023
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Shattering versus metastability in spin glasses
Gérard Ben Arous and Aukosh Jagannath · 2024
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Replica-symmetry breaking transitions in the large deviations of the ground-state of a spherical spin-glass
Bertrand Lacroix-A-Chez-Toine, Yan V Fyodorov, and Pierre Le Doussal · 2024
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