无取向第一通道渗流模型和时间逆转的统计不变性

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2024-06-08 DOI:10.1016/j.spa.2024.104413

Alejandro F. Ramírez , Santiago Saglietti , Lingyun Shao

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引用次数: 0

摘要

我们介绍并研究了一种非定向第一通道渗滤模型，该模型具有时间反转统计不变性。该模型定义在一个具有有向边的图中，与给定顶点的每组出向边相关的通过时间按照广义伯努利-指数定律分布，且在顶点之间为 i.i.d.。我们通过迪里希勒环境模型中随机漫步的零温极限，通过时间反转推导出统计不变性属性。

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A non-oriented first passage percolation model and statistical invariance by time reversal

We introduce and study a non-oriented first passage percolation model having a property of statistical invariance by time reversal. This model is defined in a graph having directed edges and the passage times associated with each set of outgoing edges from a given vertex are distributed according to a generalized Bernoulli–Exponential law and i.i.d. among vertices. We derive the statistical invariance property by time reversal through a zero-temperature limit of the random walk in Dirichlet environment model.

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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.