A Survey of Some Arithmetic Applications of Ergodic Theory in Negative Curvature

被引:2
作者
Parkkonen, Jouni [1 ]
Paulin, Frederic [2 ]
机构
[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, Jyvaskyla 40014, Finland
[2] Univ Paris Saclay, Univ Paris Sudet, Lab Math Orsay, CNRS,UMR 8628, F-91405 Orsay, France
来源
ERGODIC THEORY AND NEGATIVE CURVATURE | 2017年 / 2164卷
关键词
QUADRATIC LAGRANGE SPECTRUM; GEOMETRICALLY FINITE-GROUPS; HOMOGENEOUS VARIETIES; DIOPHANTINE APPROXIMATION; HEISENBERG GROUPS; CURVED MANIFOLDS; KLEINIAN-GROUPS; LOGARITHM LAWS; EQUIDISTRIBUTION; ORBITS;
D O I
10.1007/978-3-319-43059-1_7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:293 / 326
页数:34
相关论文
共 84 条
[1]  
[Anonymous], 1999, Metric structures for Riemannian and nonRiemannian spaces
[2]  
[Anonymous], 1969, Funct. Anal. Appl
[3]  
[Anonymous], 2015, ASTERISQUE
[4]  
[Anonymous], 2012, Cambridge Tracts in Mathematics
[5]   Logarithm laws and shrinking target properties [J].
Athreya, J. S. .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2009, 119 (04) :541-557
[6]   On the mixing property for hyperbolic systems [J].
Babillot, M .
ISRAEL JOURNAL OF MATHEMATICS, 2002, 129 (1) :61-76
[7]   Inhomogeneous theory of dual Diophantine approximation on manifolds [J].
Badziahin, Dzmitry ;
Beresnevich, Victor ;
Velani, Sanju .
ADVANCES IN MATHEMATICS, 2013, 232 (01) :1-35
[8]   THE ORTHOGONAL SPECTRUM OF A HYPERBOLIC MANIFOLD [J].
BASMAJIAN, A .
AMERICAN JOURNAL OF MATHEMATICS, 1993, 115 (05) :1139-1159
[9]   Counting horoballs and rational geodesics [J].
Belabas, K ;
Hersonsky, S ;
Paulin, F .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2001, 33 :606-612
[10]   STATIONARY MEASURES AND INVARIANT SUBSETS OF HOMOGENEOUS SPACES (II) [J].
Benoist, Yves ;
Quint, Jean-Francois .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 26 (03) :659-734