RANDOM-WALKS WITH SELF-SIMILAR CLUSTERS - (STOCHASTIC-PROCESSES STABLE DISTRIBUTIONS-FRACTALS-NONDIFFERENTIABLE FUNCTIONS)

被引：155

作者：

HUGHES, BD

SHLESINGER, MF

MONTROLL, EW

机构：

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES | 1981年 / 78卷 / 06期

关键词：

D O I：

10.1073/pnas.78.6.3287

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

引用

页码：3287 / 3291

页数：5

共 14 条

[1] ON THE WEIERSTRASS-MANDELBROT FRACTAL FUNCTION
BERRY, MV
LEWIS, ZV
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1980, 370 (1743) : 459 - 484
[2] Davies B., 1978, INTEGRAL TRANSFORMS
[3] FELLER W, 1971, INTRO PROBABILITY TH, V2, P570
[4] FELLER W, 1971, INTRO PROBABILITY TH, V2, P616
[5] EXPECTED NUMBER OF DISTINCT SITES VISITED BY A RANDOM WALK WITH AN INFINITE VARIANCE
GILLIS, JE
WEISS, GH
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (04) : 1307 - +
[6] Weierstrass's non-differentiable function
Hardy, G. H.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1916, 17 : 301 - 325
[7] Hardy G. H., 1949, DIVERGENT SERIES
[8] Mandelbrot BB., 1977, FRACTALS FORM CHANCE
[9] Mangulis V., 1965, HDB SERIES SCI ENG
[10] Montroll EW., 1964, PROC S APPL MATH AM, V16, P193