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

Authors
Denker, M Sato, H
Citation
M. Denker et H. Sato, Sierpinski gasket as a Martin boundary I: Martin kernels - Dedicated to Professor Masatoshi Fukushima on the occasion of his 60th birthday, POTENT ANAL, 14(3), 2001, pp. 211-232
Citations number
16
Categorie Soggetti
Mathematics
Journal title
POTENTIAL ANALYSIS
ISSN journal
09262601 → ACNP
Volume
14
Issue
3
Year of publication
2001
Pages
211 - 232
Database
ISI
SICI code
0926-2601(200105)14:3<211:SGAAMB>2.0.ZU;2-K
Abstract
We show that a Sierpinski gasket in N dimension is homeomorphic to the mini mal Martin boundary of some canonical Markov chain. This provides a new cla ss of examples for the boundary theory of Markov chains and the basis for a harmonic analysis on p.c.f. fractal structures.