We consider the symmetric exclusion process on the d-dimensional lattice with initial data invariant with respect to space shifts and ergodic. It is then known that as t diverges the distribution of the process at time t converges to a Bernoulli product measure. Assuming a summable decay of correlations of the initial data, we prove a quantitative version of this convergence by obtaining an explicit bound on the Ornstein d-distance. The proof is based on the analysis of a two species exclusion process with annihilation.

Quantitative ergodicity for the symmetric exclusion process with stationary initial data

Cancrini N.
Membro del Collaboration Group
;
2021

Abstract

We consider the symmetric exclusion process on the d-dimensional lattice with initial data invariant with respect to space shifts and ergodic. It is then known that as t diverges the distribution of the process at time t converges to a Bernoulli product measure. Assuming a summable decay of correlations of the initial data, we prove a quantitative version of this convergence by obtaining an explicit bound on the Ornstein d-distance. The proof is based on the analysis of a two species exclusion process with annihilation.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/176694
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