Fractal dimensions and martin boundary of graphs

被引：3

作者：

Telcs, A ^{[1
]}

机构：

[1] Int Management Ctr, Grad Sch Business, H-1051 Budapest, Hungary

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2001年 / 37卷 / 1-2期

关键词：

random walks; potential theory; boundary theory; fractals;

D O I：

10.1556/SScMath.37.2001.1-2.8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper shows large deviation theorem for Markov chains with spatial symmetric Green's function. Spatial symmetry and behaviour of the Martin boundary is investigated.

引用

页码：145 / 167

页数：23

共 50 条

[21] Fractal structure of high-temperature graphs of O(N) models in two dimensions
Janke, W
Schakel, AMJ
[J]. PHYSICAL REVIEW LETTERS, 2005, 95 (13)
[22] ON THE FRACTAL DIMENSIONS OF A COMBINED FRACTAL SET
LING, FH
[J]. PHYSICS LETTERS A, 1989, 138 (1-2) : 25 - 28
[23] Fractal dimensions for multiphase fractal media
Yu, BM
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2006, 14 (02) : 111 - 118
[24] MARTIN BOUNDARY
GAL, IS
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1962, 48 (05) : 775 - +
[25] DIMENSIONS OF GRAPHS
TRICOT, C
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 303 (13): : 609 - 612
[26] Fractal dimensions of discourse'
Youmans, G
Pfeifer, P
[J]. LANGUAGE, 2005, 81 (02) : 297 - 299
[27] FRACTAL DIMENSIONS OF SINKHOLES
REAMS, MW
[J]. GEOMORPHOLOGY, 1992, 5 (1-2) : 159 - 165
[28] PHYSIOLOGY IN FRACTAL DIMENSIONS
WEST, BJ
GOLDBERGER, AL
[J]. AMERICAN SCIENTIST, 1987, 75 (04) : 354 - 365
[29] Effective fractal dimensions
Lutz, JH
[J]. MATHEMATICAL LOGIC QUARTERLY, 2005, 51 (01) : 62 - 72
[30] ESTIMATING FRACTAL DIMENSIONS
TAYLOR, CC
[J]. ACTA STEREOLOGICA, VOL 6, SUPP 3, PARTS 1-2, 1987, 6 : 851 - 851

← 1 2 3 4 5 →