The directed landscape

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2018-12-02 DOI:10.4310/acta.2022.v229.n2.a1

Duncan Dauvergne, Janosch Ortmann, B'alint Vir'ag

引用次数: 116

Abstract

The conjectured limit of last passage percolation is a scale-invariant, independent, stationary increment process with respect to metric composition. We prove this for Brownian last passage percolation. We construct the Airy sheet and characterize it in terms of the Airy line ensemble. We also show that last passage geodesics converge to random functions with Holder-$2/3^-$ continuous paths. This work completes the construction of the central object in the Kardar-Parisi-Zhang universality class, the directed landscape.

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定向景观

最后一次渗流的推测极限是一个尺度不变的、独立的、相对于度量组成的平稳增量过程。我们为布朗最后一次渗流证明了这一点。我们构造了艾里片，并根据艾里线系综对其进行了表征。我们还证明了最后一段测地线收敛于Holder-$2/3^-$连续路径的随机函数。本作品完成了张普适性类中心对象的建构，即指向性景观。

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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来源期刊

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.