54 citations · 134 across the 22 of their papers we have counts for
24 papers
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…
TAP equations are repulsive
Stephan Gufler, Jan Lukas Igelbrink, Nicola Kistler
We show that for low enough temperatures, but still above the AT line, the Jacobian of the TAP equations for the SK model has a macroscopic fraction of eigenvalues outside the unit…
Solving spin systems: the Babylonian way
Nicola Kistler
We show that spin systems with generic (ferro- or paramagnetic, or random) interactions are "completely integrable". The approach is worked out, by way of example, for the Sherring…
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…
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…
High points of a random model of the Riemann-zeta function and Gaussian multiplicative chaos
Louis-Pierre Arguin, Lisa Hartung, Nicola Kistler
We study the total mass of high points in a random model for the Riemann-Zeta function. We consider the same model as in [8], [2], and build on the convergence to 'Gaussian' multip…