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20182023
most citedAMP algorithms and Stein's method: Understanding TAP equations with a new method

2 citations · 3 across the 3 of their papers we have counts for

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math.PR20232 cited

AMP algorithms and Stein's method: Understanding TAP equations with a new method

Stephan Gufler, Adrien Schertzer, Marius A. Schmidt

We propose a new iterative construction of solutions of the classical TAP equations for the Sherrington-Kirkpatrick model, i.e. with finite-size Onsager correction. The algorithm c…

math.PR2022

Fluctuations of the free energy in p-spin SK models on two scales

Anton Bovier, Adrien Schertzer

20 years ago, Bovier, Kurkova, and Löwe [5] proved a central limit theorem (CLT) for the fluctuations of the free energy in the p-spin version of the Sherrington-Kirkpatrick model…

math.PR20201 cited

Undirected polymers in random environment: path properties in the mean field limit

Nicola Kistler, Adrien Schertzer

We consider the problem of undirected polymers (tied at the endpoints) in random environment, also known as the unoriented first passage percolation on the hypercube, in the limit…

math.PR2019

From Parisi to Boltzmann

Goetz Kersting, Nicola Kistler, Adrien Schertzer +1

We sketch a new framework for the analysis of disordered systems, in particular mean field spin glasses, which is variational in nature and within the formalism of classical thermo…

math.PR2018

Oriented first passage percolation in the mean field limit, 2. The extremal process

Nicola Kistler, Adrien Schertzer, Marius A. Schmidt

This is the second, and last paper in which we address the behavior of oriented first passage percolation on the hypercube in the limit of large dimensions. We prove here that the…

math.PR2018

First passage percolation in the mean field limit

Nicola Kistler, Adrien Schertzer, Marius A. Schmidt

The Poisson clumping heuristic has lead Aldous to conjecture the value of the first passage percolation on the hypercube in the limit of large dimensions. Aldous' conjecture has be…