64 citations · 104 across the 6 of their papers we have counts for
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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…