TY  - BOOK
AU  - Bekka,M.Bachir
AU  - Mayer,Matthias
TI  - Ergodic theory and topological dynamics of group actions on homogeneous spacesM. Bachir Bekka, Matthias Mayer
T2  - London Mathematical Society lecture note series
SN  - 9781107089273
AV  - QA611 .E746 2000
PY  - 2000///
CY  - Cambridge, U.K., New York
PB  - Cambridge University Press
KW  - Ergodic theory
KW  - Topological dynamics
KW  - Electronic Books
N1  - 2; Ergodic Systems --; Examples and Basic Results --; Ergodic Theory and Unitary Representations --; Invariant Measures and Unique Ergodicity --; The Geodesic Flow of Riemannian Locally Symmetric Spaces --; Some Hyperbolic Geometry --; Lattices and Fundamental Domains --; The Geodesic Flow of Compact Riemann Surfaces --; The Geodesic Flow on Riemannian Locally Symmetric Spaces --; The Vanishing Theorem of Howe and Moore --; Howe--Moore's Theorem --; Moore's Ergodicity Theorems --; Counting Lattice Points in the Hyperbolic Plane --; Mixing of All Orders --; The Horocycle Flow --; The Horocycle Flow of a Riemann Surface --; Proof of Hedlund's Theorem--Cocompact Case --; Classification of Invariant Measures --; Equidistribution of Horocycle Orbits --; Siegel Sets, Mahler's Criterion and Margulis' Lemma --; Siegel Sets in SL(n, R) --; SL(n, Z) is a lattice in SL(n, R) --; Mahler's Criterion --; Reduction of Positive Definite Quadratic Forms --; Margulis' Lemma --; An Application to Number Theory: Oppenheim's Conjecture --; Oppenheim's Conjecture --; Proof of the Theorem--Preliminaries --; Existence of Minimal Closed Subsets --; Orbits of One-Parameter Groups of Unipotent Linear Transformations --; Proof of the Theorem--Conclusion --; Ratner's Results on the Conjectures of Raghunathan, Dani and Margulis; 2; b
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