指数末段渗流中最优阶中心矩界的耦合推导

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-01-30 DOI:10.1007/s10955-025-03402-3

Elnur Emrah, Nicos Georgiou, Janosch Ortmann

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引用次数: 0

摘要

我们引入了新的概率参数来推导平面定向最后通道渗流的最优阶中心矩界。我们的技术基于与模型的增量平稳变量的耦合，并在零和近平稳边界条件下的i.i.d指数权重的背景下提出。该方法的一个主要技术新颖之处是对最后通过次数的指数为3/2的左尾波动上界的一个新的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Coupling Derivation of Optimal-Order Central Moment Bounds in Exponential Last-Passage Percolation

We introduce new probabilistic arguments to derive optimal-order central moment bounds in planar directed last-passage percolation. Our technique is based on couplings with the increment-stationary variants of the model, and is presented in the context of i.i.d. exponential weights for both zero and near-stationary boundary conditions. A main technical novelty in our approach is a new proof of the left-tail fluctuation upper bound with exponent 3/2 for the last-passage times.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.