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Publications [#304503] of Xin Zhou

Papers Published

  1. Baik, J; Deift, P; McLaughlin, K; Miller, P; Zhou, X, Optimal tail estimates for directed last passage site percolation with geometric random variables, Advances in Theoretical and Mathematical Physics, vol. 5 no. 6 (2001), pp. 1-41, ISSN 1095-0761
    (last updated on 2017/12/15)

    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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