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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2025 · math.PRShow all

6 papers · 2 filters

math.PR2025

Spectrum Estimation through Kirchhoff Random Forests

Simon Barthelmé, Fabienne Castell, Alexandre Gaudillière +3

Given a non-oriented edge-weighted graph, we show how to make some estimation of the associated Laplacian eigenvalues through Monte Carlo evaluation of spectral quantities computed…

math.PR2025

Non triviality of the percolation threshold and Gumbel fluctuations for Branching Interlacements

Bruno Schapira

We consider the model of Branching Interlacements, introduced by Zhu, which is a natural analogue of Sznitman's Random Interlacements model, where the random walk trajectories are…

math.PR2025

Mixed memories in Hopfield networks

Véronique Gayrard

We consider the class of Hopfield models of associative memory with activation function and state space , where each vertex of the cube describes a configuration of…

math.PR2025

Higher-spin symmetry in the boundary Toda conformal field theory II: Singular vectors and BPZ equations

Baptiste Cerclé, Nathan Huguenin

This article is the second chapter of a two-part series dedicated to the mathematical study of the higher-spin symmetry enjoyed by the boundary Toda Conformal Fie…

math.PR2025

Conformal welding and the matter--Liouville--ghost factorisation

Guillaume Baverez, Antoine Jego

We study the action of local conformal transformations on several measures related to the Gaussian free field and Schramm--Loewner evolutions. The main novelty of our work is a Cam…

math.PR2025

Cutoff for geodesic paths on hyperbolic manifolds

Charles Bordenave, Joffrey Mathien

We establish new instances of the cutoff phenomenon for geodesic paths and for the Brownian motion on compact hyperbolic manifolds. We prove that for any fixed compact hyperbolic m…