Stability of the Non-Critical Spectral Properties I: Arithmetic Absolute Continuity of the Integrated Density of States

被引：0

作者：

Ge, Lingrui ^{[1
]}

Jitomirskaya, Svetlana ^{[2
,3
]}

Zhao, Xin ^{[1
,2
]}

机构：

[1] Peking Univ, Beijing Int Ctr Math Res, Beijing, Peoples R China

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92617 USA

[3] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 402卷 / 01期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

SCHRODINGER-OPERATORS; HOLDER CONTINUITY; LOCALIZATION; REDUCIBILITY; DUALITY; THEOREM;

D O I：

10.1007/s00220-023-04724-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a new method to prove absolute continuity of the integrated density of states of quasiperiodic operators, leading to the absolute continuity result for frequency-independent analytic perturbations of the non-critical almost Mathieu operator under arithmetic conditions on frequency.

引用

页码：213 / 229

页数：17

共 8 条

[1] Stability of the Non-Critical Spectral Properties I: Arithmetic Absolute Continuity of the Integrated Density of States
Lingrui Ge
Svetlana Jitomirskaya
Xin Zhao
Communications in Mathematical Physics, 2023, 402 : 213 - 229
[2] Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling
Avila, Artur
Damanik, David
INVENTIONES MATHEMATICAE, 2008, 172 (02) : 439 - 453
[3] Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling
Artur Avila
David Damanik
Inventiones mathematicae, 2008, 172 : 439 - 453
[4] Continuity properties of the integrated density of states on manifolds
Daniel Lenz
Norbert Peyerimhoff
Olaf Post
Ivan Veselić
Japanese Journal of Mathematics, 2008, 3 : 121 - 161
[5] Continuity properties of the integrated density of states on manifolds
Lenz, Daniel
Peyerimhoff, Norbert
Post, Olaf
Veselic, Ivan
JAPANESE JOURNAL OF MATHEMATICS, 2008, 3 (01): : 121 - 161
[6] ABSOLUTE CONTINUITY OF THE INTEGRATED DENSITY-OF-STATES OF THE QUANTUM LORENTZ GAS FOR A CLASS OF REPULSIVE POTENTIALS
TIP, A
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (04): : 1057 - 1069
[7] The absolute continuity of the integrated density of states for magnetic Schrodinger operators with certain unbounded random potentials
Hupfer, T
Leschke, H
Müller, P
Warzel, S
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 221 (02) : 229 - 254
[8] The Absolute Continuity of the Integrated Density¶of States for Magnetic Schrödinger Operators¶with Certain Unbounded Random Potentials
Thomas Hupfer
Hajo Leschke
Peter Müller
Simone Warzel
Communications in Mathematical Physics, 2001, 221 : 229 - 254

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