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math-ph2026
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…
math-ph2026
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…
math-ph2026
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…