96 citations · 244 across the 30 of their papers we have counts for
6 papers · 2 filters
Spectral Gap Inequality for Long-Range Random Walks
Milton Jara
We show that the spectral gap of a random walk on the domain of normal attraction of an -stable law is of order when restricted to boxes of size . The proof…
Scaling of the Sasamoto-Spohn model in equilibrium
Milton Jara, Gregorio R. Moreno Flores
We prove the convergence of the Sasamoto-Spohn model in equilibrium to the energy solution of the stochastic Burgers equation on the whole line. The proof, which relies on the seco…
Non-equilibrium Fluctuations of Interacting Particle Systems
Milton Jara, Otávio Menezes
We obtain the large scale limit of the fluctuations around its hydrodynamic limit of the density of particles of a weakly asymmetric exclusion process in dimension up to three. The…
Non-equilibrium and stationary fluctuations for the SSEP with slow boundary
Patrícia Gonçalves, Milton Jara, Otávio Menezes +1
We derive the non-equilibrium fluctuations of one-dimensional symmetric simple exclusion processes in contact with slowed stochastic reservoirs which are regulated by a factor $n^{…
Non-equilibrium fluctuations for a reaction-diffusion model via relative entropy
Milton Jara, Otávio Menezes
We look at a superposition of symmetric simple exclusion and Glauber dynamics in the discrete torus in dimension 1. For this model, we prove that the fluctuations around the hydrod…
Symmetric exclusion as a random environment: invariance principle
Milton Jara, Otávio Menezes
We establish an invariance principle for a one-dimensional random walk in a dynamical random environment given by a speed-change exclusion process. The jump probabilities of the wa…