Math @ Duke

Publications [#304503] of Xin Zhou
Papers Published
 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. 141, ISSN 10950761
(last updated on 2018/03/24)
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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