Diagonalizable flows on locally homogeneous spaces and number theory

Manfred Einsiedler, Elon Lindenstrauss

Research output: Contribution to conferencePaperpeer-review

21 Scopus citations

Abstract

We discuss dynamical properties of actions of diagonalizable groups on locally homogeneous spaces, particularly their invariant measures, and present some number theoretic and spectral applications. Entropy plays a key role in the study of theses invariant measures and in the applications.

Original languageEnglish
Pages1731-1759
Number of pages29
StatePublished - 2006
Externally publishedYes
Event25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain
Duration: 22 Aug 200630 Aug 2006

Conference

Conference25th International Congress of Mathematicians, ICM 2006
Country/TerritorySpain
CityMadrid
Period22/08/0630/08/06

Keywords

  • Distribution of periodic orbits
  • Entropy
  • Ideal classes
  • Invariant measures
  • Littlewood's conjecture
  • Locally homogeneous spaces
  • Quantum unique ergodicity

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