3 citations · 3 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2024
On the GREM approximation of TAP free energies
Giulia Sebastiani, Marius Alexander Schmidt
We establish both a Boltzmann-Gibbs principle and a Parisi formula for the limiting free energy of an abstract GREM (Generalized Random Energy Model) which provides an approximatio…
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.PR2021
On a nonhierarchical generalization of the Perceptron GREM
Nicola Kistler, Giulia Sebastiani
We introduce a nonlinear, nonhierarchical generalization of Derrida's GREM and establish through a Sanov-type large deviation analysis both a Boltzmann-Gibbs principle as well as a…