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  3. Rigidity in Higher Rank Abelian Group Actions
    Volume 1: Introduction and Cocycle Problem
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 July 2011
    16 June 2011
    ISBN:
    9780511803550
    9780521879095
    DOI:
    https://doi.org/10.1017/CBO9780511803550
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.58kg, 320 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Algebra
    Series:
    Cambridge Tracts in Mathematics (185)
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Algebra
    Series:
    Cambridge Tracts in Mathematics (185)
    Information

    Book description

    This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems.

    Reviews

    "This very welcome addition to the literature is the first book-length introduction to the rigidity of higher rand abelian group actions."
    David Michael Fisher for Mathematical Reviews

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