THE POISSON BOUNDARY FOR RANK-ONE MANIFOLDS AND THEIR COCOMPACT LATTICES

被引：19

作者：

BALLMANN, W ^{[1
]}

LEDRAPPIER, F ^{[1
]}

机构：

[1] UNIV PARIS 06, F-75252 PARIS 05, FRANCE

来源：

FORUM MATHEMATICUM | 1994年 / 6卷 / 03期

关键词：

D O I：

10.1515/form.1994.6.301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a complete simply connected Riemannian manifold of non-positive curvature. If M admits a compact quotient and is of rank one, then Brownian motion converges at partial derivative M, the sphere at infinity, and defines the family of harmonic measures on partial derivative M. In this paper it is shown that partial derivative M together with this family of measures is naturally isomorphic to the Poisson boundary of M.

引用

页码：301 / 313

页数：13

共 50 条

[21] Rank-one quantum games
T. Cooney
M. Junge
C. Palazuelos
D. Pérez-García
computational complexity, 2015, 24 : 133 - 196
[22] Rank-one quantum games
Cooney, T.
Junge, M.
Palazuelos, C.
Perez-Garcia, D.
COMPUTATIONAL COMPLEXITY, 2015, 24 (01) : 133 - 196
[23] BOUNDARY RIGIDITY OF CONVEX COCOMPACT REAL HYPERBOLIC MANIFOLDS
Kim, Inkang
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (04) : 1743 - 1746
[24] Classification of Rank-One Submanifolds
Raffaelli, Matteo
RESULTS IN MATHEMATICS, 2023, 78 (06)
[25] Centralizers of rank-one homeomorphisms
Hill, Aaron
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2014, 34 : 543 - 556
[26] Classification of Rank-One Submanifolds
Matteo Raffaelli
Results in Mathematics, 2023, 78
[27] The failure of rank-one connections
Iwaniec, T
Verchota, GC
Vogel, AL
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2002, 163 (02) : 125 - 169
[28] Mixing on rank-one transformations
Creutz, Darren
Silva, Cesar E.
STUDIA MATHEMATICA, 2010, 199 (01) : 43 - 72
[29] ON HOMOGENEOUS SPACES OF RANK-ONE
PANYUSHEV, D
INDAGATIONES MATHEMATICAE-NEW SERIES, 1995, 6 (03): : 315 - 323
[30] Boundary Values of Generalized Harmonic Functions Associated with the Rank-One Dunkl Operator
Jiaxi Jiu
Zhongkai Li
AnalysisinTheoryandApplications, 2020, 36 (03) : 326 - 347

← 1 2 3 4 5 →