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- W4224985514 abstract "We prove an elliptic Harnack inequality at large scale on the lattice Zd for nonnegative solutions of a difference equation with balanced i.i.d. coefficients which are not necessarily elliptic. We also identify the optimal constant in the Harnack inequality. Our proof relies on a quantitative homogenization result of the corresponding invariance principle to Brownian motion and on percolation estimates. As a corollary of our main theorem, we derive an almost optimal Hölder estimate." @default.
- W4224985514 created "2022-04-28" @default.
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- W4224985514 date "2022-05-01" @default.
- W4224985514 modified "2023-10-09" @default.
- W4224985514 title "An elliptic Harnack inequality for difference equations with random balanced coefficients" @default.
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- W4224985514 doi "https://doi.org/10.1214/21-aop1544" @default.
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