Speed of convergence and moderate deviations of FPP on random geometric graphs

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2025-04-19 DOI:10.1016/j.spa.2025.104652

Lucas R. de Lima , Daniel Valesin

引用次数: 0

Abstract

This study delves into first-passage percolation on random geometric graphs in the supercritical regime, where the graphs exhibit a unique infinite connected component. We investigate properties such as geodesic paths, moderate deviations, and fluctuations, aiming to establish a quantitative shape theorem. Furthermore, we examine fluctuations in geodesic paths and characterize the properties of spanning trees and their semi-infinite paths.

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随机几何图上FPP的收敛速度和适度偏差

本文研究了超临界条件下随机几何图上的第一通道渗流问题，其中随机几何图表现出唯一的无限连通分量。我们研究了测地线路径、中等偏差和波动等性质，旨在建立一个定量形状定理。此外，我们研究了测地线路径的起伏，并描述了生成树及其半无限路径的性质。

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

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.