SILVER MEAN HAUSDORFF DIMENSION AND CANTOR SETS

被引：25

作者：

ELNASCHIE, MS

机构：

[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge

来源：

CHAOS SOLITONS & FRACTALS | 1994年 / 4卷 / 10期

关键词：

D O I：

10.1016/0960-0779(94)90002-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce two distinct dimensions for higher-order Canter sets namely the multiplication d(c)((n)) and the Cartesian +d(c)((n)) product dimension. Subsequently a theorem is presented connecting both products through a Silver Mean Hausdorff dimension of the underlying zero-dimensional Canter set d(c)((0)).

引用

页码：1861 / 1869

页数：9

共 11 条

[1]

Beutelspacher Albrecht, 1989, GOLDENE SCHNITT

[2]

ELNASCHIE MS, 1994, CHAOS SOLITON FRACT, V4, P177, DOI 10.1016/0960-0779(94)90141-4

[3] RENORMALIZATION SEMI-GROUPS AND THE DIMENSION OF CANTORIAN SPACE-TIME [J].