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- W4299740908 abstract "We prove a central limit theorem under diffusive scaling for the displacement of a random walk on ${mathbb Z}^d$ in stationary and ergodic doubly stochastic random environment, under the $mathcal{H}_{-1}$-condition imposed on the drift field. The condition is equivalent to assuming that the stream tensor of the drift field be stationary and square integrable. This improves the best existing result of Komorowski, Landim and Olla (2012), where it is assumed that the stream tensor is in $mathcal{L}^{max{2+delta, d}}$, with $delta>0$. Our proof relies on an extension of the emph{relaxed sector condition} of Horv'ath, T'oth and VetH{o} (2012) and is technically rather simpler than existing earlier proofs of similar results by Oelschlager (1988) and Komorowski, Landim and Olla (2012)" @default.
- W4299740908 created "2022-10-03" @default.
- W4299740908 creator A5053231371 @default.
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- W4299740908 date "2017-02-22" @default.
- W4299740908 modified "2023-10-18" @default.
- W4299740908 title "Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment: $mathcal{H}_{-1}$ Suffices" @default.
- W4299740908 doi "https://doi.org/10.48550/arxiv.1702.06905" @default.
- W4299740908 hasPublicationYear "2017" @default.
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