Corpus ID: 119163571

Local ergodicity in the exclusion process on an infinite weighted graph

@article{Chen2017LocalEI,
  title={Local ergodicity in the exclusion process on an infinite weighted graph},
  author={Joe P. J. Chen},
  journal={arXiv: Probability},
  year={2017}
}
We establish an abstract local ergodic theorem, under suitable space-time scaling, for the (boundary-driven) symmetric exclusion process on an increasing sequence of balls covering an infinite weighted graph. The proofs are based on 1-block and 2-blocks estimates utilizing the resistance structure of the graph; the moving particle lemma established recently by the author; and discrete harmonic analysis. Our ergodic theorem applies to any infinite weighted graph upon which random walk is… Expand

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