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6 papers · 2 filters
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…
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…
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…
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…
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…
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…