Math @ Duke
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Publications [#244297] of Xin Zhou
Papers Published
- with Baik, J; Deift, P; McLaughlin, KTR; Miller, P, Optimal tail estimates for directed last passage site percolation with geometric random variables,
Adv. Theo. Math. Phys., vol. 5 no. 6
(2001),
pp. 1207-1250, ISSN 1095-0761
(last updated on 2025/07/04)
Abstract: In this paper, we obtain optimal uniform lower tail estimates for the probability distribution of the properly scaled length of the longest up/right path of the last passage site percolation model considered by Johansson in [12]. The estimates are used to prove a lower tail moderate deviation result for the model. The estimates also imply the convergence of moments, and also provide a verification of the universal scaling law relating the longitudinal and the transversal fluctuations of the model.
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