5 papers · 1 filter
Wandering Exponents and the Free Energy of the High-Dimensional Elastic Polymer
Gerard Ben Arous, Pax Kivimae
We study the behavior of the elastic polymer, a model of a directed polymer in a continuous Gaussian random environment that is independent in time and correlated in space, as the…
Permutation recovery of spikes in noisy high-dimensional tensor estimation
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo
We study the dynamics of gradient flow in high dimensions for the multi-spiked tensor problem, where the goal is to estimate unknown signal vectors (spikes) from noisy Gaussian…
Scaling limit for the random walk on critical lattice trees
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We prove a scaling limit theorem for the simple random walk on critical lattice trees in , for . The scaling limit is the Brownian motion on the Integrated S…
The Larkin Mass and Replica Symmetry Breaking in the Elastic Manifold
Gerard Ben Arous, Pax Kivimae
This is the second of a series of three papers about the Elastic Manifold model. This classical model proposes a rich picture due to the competition between the inherent disorder a…
The Free Energy of the Elastic Manifold
Gerard Ben Arous, Pax Kivimae
This is the first of a series of three papers about the Elastic Manifold model. This classical model proposes a rich picture due to the competition between the inherent disorder an…