Sierpinski gasket as a Martin boundary I: Martin kernels - Dedicated to Professor Masatoshi Fukushima on the occasion of his 60th birthday

被引：26
作者：
Denker, M
Sato, H
机构：
[1] Univ Gottingen, Inst Math Stochast, D-37083 Gottingen, Germany
[2] Kyushu Univ, Grad Sch Math, Fukuoka 81281, Japan
来源：
POTENTIAL ANALYSIS | 2001年 / 14卷 / 03期
关键词：
Martin boundary; Sierpinski gasket; Markov chain;
D O I：
10.1023/A:1011232724842
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a Sierpinski gasket in N dimension is homeomorphic to the minimal Martin boundary of some canonical Markov chain. This provides a new class of examples for the boundary theory of Markov chains and the basis for a harmonic analysis on p.c.f. fractal structures.
引用
收藏
页码：211 / 232
页数：22
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