170 citations · 523 across the 31 of their papers we have counts for
18 papers · 1 filter
Asymptotic long-range order for the XY-model on random geometric graphs
Margherita Disertori, Max Mihailescu
We study the classical -model on random geometric graphs , which are obtained by sampling independent points in a finite domain…
Gradual eigenvector ergodization in coupled Ginibre matrices
Margherita Disertori, Yan V. Fyodorov
Non-Hermitian random matrices provide a useful framework for understanding universal characteristics of dissipative quantum chaotic systems with loss or gain. We consider a model o…
Exponential decay of correlations at high temperature in nonlinear sigma models
Margherita Disertori, Javier Durán Fernández, Luca Fresta
We consider a family of nonlinear sigma models on whose target space is the hyperbolic super manifold , , introduced by Crawford as an extension of…
Fluctuations in the non-linear supersymmetric hyperbolic sigma model with long-range interactions
Margherita Disertori, Franz Merkl, Silke W. W. Rolles
We consider a class of non-linear supersymmetric hyperbolic sigma models with long-range interactions on boxes in and on a hierarchical lattice. We prove that the ra…
Decay of the Green's function of the fractional Anderson model and connection to long-range SAW
Margherita Disertori, Roberto Maturana Escobar, Constanza Rojas-Molina
We prove a connection between the Green's function of the fractional Anderson model and the two point function of a self-avoiding random walk with long range jumps, adapting a stra…
Phase transition in the Integrated Density of States of the Anderson model arising from a supersymmetric sigma model
Margherita Disertori, Valentin Rapenne, Constanza Rojas-Molina +1
We study the Integrated Density of States (IDS) of the random Schrödinger operator appearing in the study of certain reinforced random processes in connection with a supersymmetric…