ON THE RESISTANCE OF THE SIERPINSKI CARPET

被引:51
作者
BARLOW, MT [1 ]
BASS, RF [1 ]
机构
[1] UNIV WASHINGTON, DEPT MATH, SEATTLE, WA 98195 USA
来源
PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES | 1990年 / 431卷 / 1882期
关键词
D O I
10.1098/rspa.1990.0135
中图分类号
学科分类号
摘要
引用
收藏
页码:345 / 360
页数:16
相关论文
共 25 条
[1]   LOCAL-TIMES FOR BROWNIAN-MOTION ON THE SIERPINSKI CARPET [J].
BARLOW, MT ;
BASS, RF .
PROBABILITY THEORY AND RELATED FIELDS, 1990, 85 (01) :91-104
[2]  
BARLOW MT, 1989, ANN I H POINCARE-PR, V25, P225
[3]   BROWNIAN-MOTION ON THE SIERPINSKI GASKET [J].
BARLOW, MT ;
PERKINS, EA .
PROBABILITY THEORY AND RELATED FIELDS, 1988, 79 (04) :543-623
[4]   RESISTANCE AND SPECTRAL DIMENSION OF SIERPINSKI CARPETS [J].
BARLOW, MT ;
BASS, RF ;
SHERWOOD, JD .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (06) :L253-L258
[5]  
BASS RF, 1991, IN PRESS ANN PROBAB
[6]   EXACT FRACTALS WITH ADJUSTABLE FRACTAL AND FRACTION DIMENSIONALITIES [J].
BENAVRAHAM, D ;
HAVLIN, S .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (15) :L559-L563
[7]   DIRICHLET SPACES [J].
BEURLING, A ;
DENY, J .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1959, 45 (02) :208-215
[8]   ESPACES DE DIRICHLET .1. LE CAS ELEMENTAIRE [J].
BEURLING, A ;
DENY, J .
ACTA MATHEMATICA, 1958, 99 (3-4) :203-224
[9]  
DOYLE PG, 1984, RANDOM WALKS ELECTRI
[10]   PHASE-TRANSITIONS ON FRACTALS .3. INFINITELY RAMIFIED LATTICES [J].
GEFEN, Y ;
AHARONY, A ;
MANDELBROT, BB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (06) :1277-1289