Scaling limit of additive functionals for 2D reversible non-gradient exclusion process established for local centered and higher-degree functions using quantitative homogenization of the resolvent.
Non-equilibrium Fluctuations of Interacting Particle Systems
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abstract
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 proof is based upon a sharp estimate on the relative entropy of the law of the process with respect to product reference measures associated to the hydrodynamic limit profile, which holds in any dimension and is of independent interest. As a corollary of this entropy estimate, we obtain some quantitative bounds on the speed of convergence of the aforementioned hydrodynamic limit.
fields
math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves CLTs for occupation time in 2D and sample path moderate deviation principles in 1D for SSEP with Glauber dynamics from nonequilibrium initial conditions.
citing papers explorer
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Scaling limit of additive functionals for reversible non-gradient exclusion process: critical cases
Scaling limit of additive functionals for 2D reversible non-gradient exclusion process established for local centered and higher-degree functions using quantitative homogenization of the resolvent.
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Nonequilibrium fluctuations and moderate deviations for the occupation time of the SSEP with Glauber dynamics
Proves CLTs for occupation time in 2D and sample path moderate deviation principles in 1D for SSEP with Glauber dynamics from nonequilibrium initial conditions.