activity
20152022
most citedTriviality of the geometry of mixed -spin spherical Hamiltonians with external field

25 citations · 32 across the 9 of their papers we have counts for

collaborators

12 papers

cond-mat.dis-nn2022★ 3 cited

On the REM approximation of TAP free energies

Nicola Kistler, Marius Alexander Schmidt, Giulia Sebastiani

The free energy of TAP-solutions for the SK-model of mean field spin glasses can be expressed as a nonlinear functional of local terms: we exploit this feature in order to contrive…

math.PR2022

Complexity of local maxima of given radial derivative for mixed -spin Hamiltonians

David Belius, Marius A. Schmidt

We study the number of local maxima with given radial derivative of spherical mixed -spin models and prove that the second moment matches the square of the first moment on expon…

cond-mat.dis-nn2022★ 1 cited

Phase diagram for the tap energy of the -spin spherical mean field spin glass model

David Belius, Marius A. Schmidt

We solve the Thouless-Anderson-Palmer (TAP) variational principle associated to the spherical pure -spin mean field spin glass Hamiltonian and present a detailed phase diagram.…

math.PR2021★ 25 cited

Triviality of the geometry of mixed -spin spherical Hamiltonians with external field

David Belius, Jiří Černý, Shuta Nakajima +1

We study isotropic Gaussian random fields on the high-dimensional sphere with an added deterministic linear term, also known as mixed p-spin Hamiltonians with external field. We pr…

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.ST2018

Optimal Designs for Poisson Count Data with Gamma Block Effects

Marius Schmidt, Rainer Schwabe

The Poisson-Gamma model is a generalization of the Poisson model, which can be used for modelling count data. We show that the -optimality criterion for the Poisson-Gamma model…