A flow conservation law for surface processes

被引：2

作者：

Last, G

Schassberger, R

机构：

来源：

ADVANCES IN APPLIED PROBABILITY | 1996年 / 28卷 / 01期

关键词：

random surface; Gauss' divergence theorem; stochastic geometry; random measure; palm probability; conservation law; linear contact distribution; point process;

D O I：

10.2307/1427911

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The object studied in this paper is a pair (Phi, Y), where Phi is a random surface in R(N) and Y a random vector field on R(N). The pair is jointly stationary, i.e. its Is distribution is invariant under translations. The vector field Y is smooth outside Phi but may have discontinuities on Phi. Gauss' divergence theorem is applied to derive a flow conservation law for Y. For R(1) this specializes to a well-known rate conservation law for point processes. As an application, relationships for the linear contact distribution of Phi are derived.

引用

页码：13 / 28

页数：16

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