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math.PR2026
Freeness for tensors
Remi Bonnin, Charles Bordenave
We pursue the current developments in random tensor theory by laying the foundations of a free probability theory for tensors and establish its relevance in the study of random ten…
math.PR2026
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.PR2026
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…