Operators with singular continuous spectrum .4. Hausdorff dimensions, rank one perturbations, and localization

被引：189

作者：

delRio, R

Jitomirskaya, S

Last, Y

Simon, B

机构：

[1] UNIV NACL AUTONOMA MEXICO, IIMAS, MEXICO CITY 01000, DF, MEXICO

[2] UNIV CALIF IRVINE, DEPT MATH, IRVINE, CA 92717 USA

[3] CALTECH, DIV PHYS MATH & ASTRON, PASADENA, CA 91125 USA

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 1996年 / 69卷

关键词：

D O I：

10.1007/BF02787106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：153 / 200

页数：48

共 40 条

[1] LOCALIZATION AT LARGE DISORDER AND AT EXTREME ENERGIES - AN ELEMENTARY DERIVATION [J].

AIZENMAN, M ;

MOLCHANOV, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (02) :245-278

[2] LOCALIZATION AT WEAK DISORDER - SOME ELEMENTARY BOUNDS [J].

AIZENMAN, M .

REVIEWS IN MATHEMATICAL PHYSICS, 1994, 6 (5A) :1163-1182

[3]

[Anonymous], 1998, J NEUROSCI

[4]

[Anonymous], 1990, FRACTAL GEOMETRY

[5] ON A PROBLEM OF WEYL IN THE THEORY OF SINGULAR STURM-LIOUVILLE EQUATIONS [J].

ARONSZAJN, N .

AMERICAN JOURNAL OF MATHEMATICS, 1957, 79 (03) :597-610

[6] ALMOST PERIODIC SCHRODINGER-OPERATORS .2. THE INTEGRATED DENSITY OF STATES [J].

AVRON, J ;

SIMON, B .

DUKE MATHEMATICAL JOURNAL, 1983, 50 (01) :369-391

[7] On linear set of points of fractional dimension [J].

Besicovitch, AS .

MATHEMATISCHE ANNALEN, 1929, 101 :161-193

[8]

BOOLE G, 1957, PHILOS T ROY SOC LON, V147, P780

[9] OPERATORS WITH SINGULAR CONTINUOUS-SPECTRUM .2. RANK-ONE OPERATORS [J].

DELRIO, R ;

MAKAROV, N ;

SIMON, B .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 165 (01) :59-67

[10] ONE-DIMENSIONAL WAVE-EQUATIONS IN DISORDERED MEDIA [J].

DELYON, F ;

KUNZ, H ;

SOUILLARD, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (01) :25-42

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