5 citations · 8 across the 11 of their papers we have counts for
12 papers
The Order of Free Energy Fluctuations in the Critical Sherrington-Kirkpatrick Model Revisited
Adrien Schertzer
We study the fluctuations of the free energy of the Sherrington-Kirkpatrick model at the critical inverse temperature . We prove that \[ \operatorname{Var}(F_N(1))\leq \frac14…
On the local nature of the de Almeida-Thouless line for mixed \(p\)-spin glasses
Jean-Christophe Mourrat, Adrien Schertzer
Jagannath and Tobasco~\cite{JagTob} proposed a generalized de Almeida-Thouless (AT) criterion aimed at characterizing the replica symmetric (RS) regime for a broad class of mixed \…
On the Replica Symmetry of a Variant of the Sherrington-Kirkpatrick Spin Glass
Christian Brennecke, Adrien Schertzer
We consider i.i.d. Ising spins with mean whose interactions are described by a Sherrington-Kirkpatrick Hamiltonian with a quartic correction. This model was recen…
Spin Covariance Fluctuations in the SK Model at High Temperature
Christian Brennecke, Adrien Schertzer, Chen Van Dam
Based on \cite{H}, it is well known that the rescaled two point correlation functions \[ \sqrt{N} \langle σ_i ; σ_j\rangle = \sqrt{N} \big( \langle σ_i σ_j\rangle -\langle σ_i\rang…
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…
The Two Point Function of the SK Model without External Field at High Temperature
Christian Brennecke, Adrien Schertzer, Changji Xu +1
We show that the two point correlation matrix of the Sherrington-Kirkpatrick model with zero external field satisfies \[…
On concavity of TAP free energy in the SK model
Stephan Gufler, Adrien Schertzer, Marius A. Schmidt
We analyse the Hessian of the Thouless-Anderson-Palmer (TAP) free energy for the Sherrington-Kirkpatrick model, below the de Almeida-Thouless line, evaluated in Bolthausen's approx…
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…
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…
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…
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…
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…