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  3. Topics in Dynamics and Ergodic Theory
  • Cited by 4
      • Edited by Sergey Bezuglyi, Institute of Low-Temperature Physics and Engineering, Kharkov, Ukraine, Sergiy Kolyada, National Academy of Sciences of Ukraine
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2009
      December 2003
      ISBN:
      9780511546716
      9780521533652
      DOI:
      https://doi.org/10.1017/CBO9780511546716
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.375kg, 270 Pages
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
      Series:
      London Mathematical Society Lecture Note Series (310)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
    Series:
    London Mathematical Society Lecture Note Series (310)
    Information

    Book description

    This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups.

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