Level–wise Approximation of a Markov Process Associated to the Boundary of an Infinite Tree

被引:0
|
作者
Servet Martínez
Daniel Remenik
Jaime San Martín
机构
[1] Centro de Modelamiento Matemático,Departamento de Ingeniería Matemática
来源
Journal of Theoretical Probability | 2007年 / 20卷
关键词
Markov process; Infinite tree; Potential theory; Green kernel; Approximation; Boundary process; Ultrametricity; Ultrametric matrix; Tree matrix;
D O I
暂无
中图分类号
学科分类号
摘要
We study an approximation of a Markov process associated to the boundary of an infinite rooted tree. This approximation is constructed by projecting the infinitesimal generator of the original process (defined on the boundary) onto the spaces associated to the filtration spanned by the successive levels of the rooted tree.
引用
收藏
页码:561 / 579
页数:18
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