Diagonalizable flows on locally homogeneous spaces and number theory

  • Manfred Einsiedler

    ETH Zürich, Switzerland
  • Elon Lindenstrauss

    The Hebrew University of Jerusalem, Israel
Diagonalizable flows on locally homogeneous spaces and number theory cover
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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.