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7 papers · 2 filters
A short proof of the strong three dimensional Gaussian product inequality
Ronan Herry, Dominique Malicet, Guillaume Poly
We prove the strong form of the Gaussian product conjecture in dimension three. Our purely analytical proof simplifies previously known proofs based on combinatorial methods or com…
The Critical Density for Activated Random Walks is always less than 1
Amine Asselah, Nicolas Forien, Alexandre Gaudillière
Activated Random Walks, on for any , is an interacting particle system, where particles can be in either of two states: active or frozen. Each active p…
Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees
Loren Coquille, Christof Kuelske, Arnaud Le Ny
We consider -valued -SOS-models with nearest neighbor interactions of the form , and finite-spin ferromagnetic models on regular trees. This includes the…
Equilibrium in a large Lotka-Volterra system with pairwise correlated interactions
Maxime Clenet, E Ferchichi, Jamal Najim
We study the equilibria of a large Lokta-Volterra system of coupled differential equations in the case where the interaction coefficients form a large random matrix. In the case wh…
Stein's method for steady-state diffusion approximation in Wasserstein distance
Thomas Bonis
We provide a general steady-state diffusion approximation result which bounds the Wasserstein distance between the reversible measure of a diffusion process and the measure …
Random cubic planar graphs converge to the Brownian sphere
Marie Albenque, Éric Fusy, Thomas Lehéricy
In this paper, the scaling limit of random connected cubic planar graphs (respectively multigraphs) is shown to be the Brownian sphere. The proof consists in essentially two main s…