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The Resource Ergodic theory and topological dynamics of group actions on homogeneous spaces, M. Bachir Bekka, Matthias Mayer

Ergodic theory and topological dynamics of group actions on homogeneous spaces, M. Bachir Bekka, Matthias Mayer

Work
Publication
Extent
x, 200 p.
Contents
  • 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
  • Ergodic Systems
  • 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
  • Examples and Basic Results
  • 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
  • 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
Isbn
9780521660303
Instance
Label
Ergodic theory and topological dynamics of group actions on homogeneous spaces
Title
Ergodic theory and topological dynamics of group actions on homogeneous spaces
Statement of responsibility
M. Bachir Bekka, Matthias Mayer
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
UKM
http://library.link/vocab/creatorName
Bekka, M. Bachir
Illustrations
illustrations
Index
index present
LC call number
QA611.5
LC item number
.B42 2000
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Mayer, Matthias
http://library.link/vocab/subjectName
  • Ergodic theory
  • Topological dynamics
  • Ergodic theory
  • Topological dynamics
  • Ergodiciteit
  • Topologische groepen
  • Dynamische systemen
  • Théorie ergodique
  • Dynamique topologique
Label
Ergodic theory and topological dynamics of group actions on homogeneous spaces, M. Bachir Bekka, Matthias Mayer
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [189]-197) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • Ergodic Systems
  • 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
  • Examples and Basic Results
  • 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
  • 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
Dimensions
23 cm.
Extent
x, 200 p.
Isbn
9780521660303
Isbn Type
(paperback)
Lccn
00708882
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
ill.
System control number
  • (OCoLC)42790871
  • (OCoLC)ocm42790871
Label
Ergodic theory and topological dynamics of group actions on homogeneous spaces, M. Bachir Bekka, Matthias Mayer
Publication
Bibliography note
Includes bibliographical references (p. [189]-197) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • Ergodic Systems
  • 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
  • Examples and Basic Results
  • 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
  • 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
Dimensions
23 cm.
Extent
x, 200 p.
Isbn
9780521660303
Isbn Type
(paperback)
Lccn
00708882
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
ill.
System control number
  • (OCoLC)42790871
  • (OCoLC)ocm42790871

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