Entropy of quantum limits

被引：40

作者：

Bourgain, J

Lindenstrauss, E

机构：

[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2003年 / 233卷 / 01期

关键词：

D O I：

10.1007/s00220-002-0770-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we show that any measure arising as a weak* limit of microlocal lifts of eigenfunctions of the Laplacian on certain arithmetic manifolds have dimension at least 11/9, and in particular all ergodic components of this measure with respect to the geodesic flow have positive entropy.

引用

页码：153 / 171

页数：19

共 10 条

[1]

Burgess D.A., 1963, P LOND MATH SOC, V3, P524, DOI [DOI 10.1112/PLMS/S3-13.1.524, 10.1112/plms/s3-13.1.524]

[2]

DEVERDIERE YC, 1985, COMMUN MATH PHYS, V102, P497

[3]

LEDRAPPIER F, PROJECTION MEASURES

[4]

LINDENSTRAUSS E, 2001, IN PRESS IMRN