Ergodic Theory on Homogeneous Spaces and Metric Number Theory View Full Text


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Chapter Info

DATE

2012

AUTHORS

Dmitry Kleinbock

ABSTRACT

Glossary Definition of the Subject Introduction Basic Facts Connection with Dynamics on the Space of Lattices Diophantine Approximation with Dependent Quantities: The Set-Up Further Results Future Directions Acknowledgment Bibliography

PAGES

302-312

References to SciGraph publications

  • 1924-03. Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der Diophantischen Approximationen in MATHEMATISCHE ANNALEN
  • 2009-12. S-Arithmetic Khintchine-Type Theorem in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • 1999-12. Logarithm laws for flows on homogeneous spaces in INVENTIONES MATHEMATICAE
  • 2007-02. Multidimensional Continued Fractions, Dynamical Renormalization and KAM Theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2003-02. Extremal subspaces and their submanifolds in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • 1982-12. Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics in ACTA MATHEMATICA
  • 2002-05. A Groshev Type Theorem for Convergence on Manifolds in ACTA MATHEMATICA HUNGARICA
  • 2005-04. On fractal measures and diophantine approximation in SELECTA MATHEMATICA
  • 1964-04. Metrische Sätze über simultane Approximation abhängiger Größen in MONATSHEFTE FÜR MATHEMATIK
  • 1929-12. On linear sets of points of fractional dimension in MATHEMATISCHE ANNALEN
  • 2005-12. Badly approximable vectors on fractals in ISRAEL JOURNAL OF MATHEMATICS
  • 2005-10. Diophantine approximation on rational quadrics in MATHEMATISCHE ANNALEN
  • 1932-12. Über das Maß der Menge allerS-Zahlen in MATHEMATISCHE ANNALEN
  • 1979-10. On invariant measures, minimal sets and a lemma of margulis in INVENTIONES MATHEMATICAE
  • 2006. SOME EXAMPLES HOWTO USE MEASURE CLASSIFICATION IN NUMBER THEORY in EQUIDISTRIBUTION IN NUMBER THEORY, AN INTRODUCTION
  • 2007-04. A note on simultaneous Diophantine approximation on planar curves in MATHEMATISCHE ANNALEN
  • Book

    TITLE

    Mathematics of Complexity and Dynamical Systems

    ISBN

    978-1-4614-1805-4
    978-1-4614-1806-1

    Author Affiliations

    From Grant

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-1-4614-1806-1_19

    DOI

    http://dx.doi.org/10.1007/978-1-4614-1806-1_19

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1003649876


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