INVARIANT-MEASURES OF THE GEODESIC-FLOW AND MEASURES AT INFINITY ON NEGATIVELY CURVED MANIFOLDS

被引：0

作者：

KAIMANOVICH, VA ^{[1
]}

机构：

[1] UNIV WARWICK,INST MATH,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE | 1990年 / 53卷 / 04期

关键词：

NEGATIVELY CURVED MANIFOLD; SPHERE AT INFINITY; GEODESIC FLOW; PATTERSON MEASURE; BROWNIAN MOTION; HARMONIC MEASURE;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Basing upon the correspondence between the invariant measures of the geodesic flow on a negatively curved manifold and the measures on the sphere at infinity, we give new constructions of the maximal entropy and the harmonic invariant measures of the geodesic flow.

引用

页码：361 / 393

页数：33

共 50 条

[1] ERGODICITY OF HARMONIC INVARIANT-MEASURES FOR THE GEODESIC-FLOW ON HYPERBOLIC SPACES
KAIMANOVICH, VA
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1994, 455 : 57 - 103
[2] Invariant measures for the stable foliation on negatively curved periodic manifolds
Ledrappier, Francois
ANNALES DE L INSTITUT FOURIER, 2008, 58 (01) : 85 - 105
[3] EXISTENCE OF SMOOTH INVARIANT-MEASURES FOR GEODESIC-FLOWS OF FOLIATIONS OF RIEMANNIAN-MANIFOLDS
WALCZAK, PG
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) : 903 - 906
[4] Gibbs measures on negatively curved manifolds
Coudene, Y
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2003, 9 (01) : 89 - 101
[5] Gibbs Measures on Negatively Curved Manifolds
Yves Coudene
Journal of Dynamical and Control Systems, 2003, 9 : 89 - 101
[6] Quasiconformality in the geodesic flow of negatively curved manifolds
Yue, C
GEOMETRIC AND FUNCTIONAL ANALYSIS, 1996, 6 (04) : 740 - 750
[7] Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves
Alvarez, Sebastien
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2016, 36 : 355 - 374
[8] On the classification of invariant measures for horosphere foliations on nilpotent covers of negatively curved manifolds
Babillot, M
RANDOM WALKS AND GEOMETRY, 2004, : 319 - 335
[9] Harmonic measures for compact negatively curved manifolds
Hamenstadt, U
ACTA MATHEMATICA, 1997, 178 (01) : 39 - 107
[10] NONEXISTENCE OF INVARIANT-MEASURES
PROMISLOW, D
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (01) : 89 - 92

← 1 2 3 4 5 →