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.
A coarse-graining theory for elliptic operators and homoge- nization in high contrast.arXiv preprint arXiv:2509.24887,
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Proves quantitative Einstein relation with explicit quenched algebraic rate for reversible diffusions in random environments.
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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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Quantitative Einstein relation for reversible diffusions in a random environment
Proves quantitative Einstein relation with explicit quenched algebraic rate for reversible diffusions in random environments.