54 citations · 134 across the 22 of their papers we have counts for
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math.PR2021
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…
math.PR2021
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…
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…