AVERAGE SYMMETRY, STABILITY AND ERGODICITY OF MULTIDIMENSIONAL CANTOR SETS

被引：20

作者：

ELNASCHIE, MS

机构：

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

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1994年 / 109卷 / 02期

关键词：

Chaos; Fractals; Function theory; analysis;

D O I：

10.1007/BF02727425

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A theorem is presented connecting phase space stability and the average Hausdorff dimension of a backbone Cantor set at a critical state related to mixing and ergodicity.

引用

页码：149 / 157

页数：9

共 17 条

[1] STATISTICAL-MECHANICS OF MULTIDIMENSIONAL CANTOR SETS, GODEL THEOREM AND QUANTUM SPACETIME [J].

ELNASCHIE, MS .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1993, 330 (01) :199-211

[2] PENROSE TILING, SEMI-CONDUCTION AND CANTORIAN 1/F(A)SPECTRA IN 4-DIMENSION AND 5-DIMENSION [J].

ELNASCHIE, MS .

CHAOS SOLITONS & FRACTALS, 1993, 3 (04) :489-491

[3] SEMICONDUCTORS AND CANTORIAN SPECTRA [J].

ELNASCHIE, MS .

CHAOS SOLITONS & FRACTALS, 1993, 3 (03) :383-384

[4] CANTORIAN DISTANCE, STATISTICAL-MECHANICS AND UNIVERSAL BEHAVIOR OF MULTIDIMENSIONAL TRIADIC SETS [J].

ELNASCHIE, MS .

MATHEMATICAL AND COMPUTER MODELLING, 1993, 17 (06) :47-53

[5]

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[7]

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[8]

ELNASCHIE MS, 1993, CHAOS SOLITON FRACT, V6, P375

[9]

ELNASCHIE MS, 1992, NUOVO CIMENTO B, V107, P589

[10]

ELNASCHIE MS, 1993, CHAOS SOLITON FRACT, V3, P362

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