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- W4294559993 abstract "We prove central limit theorem under diffusive scaling for the displacement of a random walk on ${mathbb Z}^d$ in stationary divergence-free random drift field, under the ${mathcal H}_{-1}$-condition imposed on the drift field. The condition is equivalent to assuming that the stream tensor 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 be in ${mathcal L}^{max{2+delta,d}}$, with $delta>0$. Our proof relies on the 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, Olla (2012)." @default.
- W4294559993 created "2022-09-04" @default.
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- W4294559993 date "2014-11-15" @default.
- W4294559993 modified "2023-09-30" @default.
- W4294559993 title "Central limit theorem for random walks in divergence-free random drift field: H-minus-one suffices" @default.
- W4294559993 doi "https://doi.org/10.48550/arxiv.1411.4171" @default.
- W4294559993 hasPublicationYear "2014" @default.
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