指数型最后通过渗流中最优阶中心矩界的耦合推导
概率论
2025-02-04 v2
摘要
我们引入新的概率论论证来推导平面有向最后通过渗流中的最优阶中心矩界。我们的技术基于与模型的增量平稳变体的耦合，并在独立同分布指数权重下针对零边界与近平稳边界条件予以呈现。我们方法中的一个主要技术新颖之处是关于最后通过时间的指数为 3/2 的左尾涨落上界的新证明。
引用
@article{arxiv.2204.06613,
title = {Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation},
author = {Elnur Emrah and Nicos Georgiou and Janosch Ortmann},
journal= {arXiv preprint arXiv:2204.06613},
year = {2025}
}
备注
48 pages, 1 figure. Improved exposition. The first two sections rewritten. The results and the proofs are the same but their presentation has changed. Previous Propositions 4.1, 4.5 and B.1 are now Theorems 2.6, 2.3 and 2.7, respectively. Omitted Appendix C and some minor extensions/variations of the results. Shortened the bibliography but also added some new references