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  3. The Ergodic Theory of Discrete Groups
  • Cited by 145
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    • Publisher:
      Cambridge University Press
      Publication date:
      December 2009
      August 1989
      ISBN:
      9780511600678
      9780521376747
      DOI:
      https://doi.org/10.1017/CBO9780511600678
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.352kg, 236 Pages
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Algebra
      Series:
      London Mathematical Society Lecture Note Series (143)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Algebra
    Series:
    London Mathematical Society Lecture Note Series (143)
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    Book description

    The interaction between ergodic theory and discrete groups has a long history and much work was done in this area by Hedlund, Hopf and Myrberg in the 1930s. There has been a great resurgence of interest in the field, due in large measure to the pioneering work of Dennis Sullivan. Tools have been developed and applied with outstanding success to many deep problems. The ergodic theory of discrete groups has become a substantial field of mathematical research in its own right, and it is the aim of this book to provide a rigorous introduction from first principles to some of the major aspects of the theory. The particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S. J. Patterson for Fuchsian groups, and later extended and refined by Sullivan.

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