ASYMPTOTICALLY ONE-DIMENSIONAL DIFFUSIONS ON THE SIERPINSKI GASKET AND THE ABC-GASKETS

被引：17
|
作者：
HATTORI, K
HATTORI, T
WATANABE, H
机构：
[1] UTSUNOMIYA UNIV,FAC ENGN,UTSUNOMIYA,TOCHIGI 321,JAPAN
[2] NIPPON MED COLL,DEPT MATH,NAKAHARA KU,KAWASAKI,KANAGAWA 211,JAPAN
来源：
PROBABILITY THEORY AND RELATED FIELDS | 1994年 / 100卷 / 01期
关键词：
D O I：
10.1007/BF01204955
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：
Diffusion processes on the Sierpinski gasket and the abc-gaskets are constructed as limits of random walks. In terms of the associated renormalization group, the present method uses the inverse trajectories which converge to unstable fixed points corresponding to the random walks on one-dimensional chains. In particular, non-degenerate fixed points are unnecessary for the construction. A limit theorem related to the discrete-time multi-type non-stationary branching processes is applied.
引用
收藏
页码：85 / 116
页数：32
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