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  • 1
    Book
    Book
    Princeton, NJ [u.a.] : Princeton Univ. Press
    UID:
    gbv_590933086
    Format: XIII, 120 S. , graph. Darst. , 24 cm
    ISBN: 9780691141855 , 9780691141848
    Series Statement: Annals of mathematics studies 172
    Note: Includes bibliographical references and index
    Additional Edition: Online-Ausg. Gorodnik, Alexander, 1975 - The Ergodic Theory of Lattice Subgroups Princeton, N.J. : Princeton University Press, 2009 ISBN 9781400831067
    Additional Edition: Erscheint auch als Online-Ausgabe Gorodnik, Alexander, 1975 - The Ergodic Theory of Lattice Subgroups. Princeton : Princeton University Press, 2009 ISBN 9781400831067
    Additional Edition: Online-Ausg. Gorodnik, Alexander, 1975 - The ergodic theory of lattice subgroups Princeton : Princeton University Press, 2010 ISBN 9781400831067
    Additional Edition: ISBN 1400831067
    Additional Edition: ISBN 1282303805
    Additional Edition: ISBN 9781282303805
    Additional Edition: ISBN 9780691141848
    Additional Edition: ISBN 9780691141855
    Additional Edition: ISBN 0691141851
    Additional Edition: ISBN 0691141843
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    RVK:
    Keywords: Verbandsgruppe ; Untergruppe ; Ergodentheorie
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Princeton, N.J. : Princeton University Press
    UID:
    b3kat_BV042522531
    Format: 1 Online-Ressource (160 S.)
    ISBN: 9781400831067
    Series Statement: Annals of Mathematics Studies number 172
    Note: Main description: The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle. Here, Alexander Gorodnik and Amos Nevo develop a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. Simple general conditions on the spectral theory of the group and the regularity of the averaging sets are formulated, which suffice to guarantee convergence to the ergodic mean. In particular, this approach gives a complete solution to the problem of establishing mean and pointwise ergodic theorems for the natural averages on semisimple algebraic groups and on their discrete lattice subgroups. Furthermore, an explicit quantitative rate of convergence to the ergodic mean is established in many cases. The topic of this volume lies at the intersection of several mathematical fields of fundamental importance. These include ergodic theory and dynamics of non-amenable groups, harmonic analysis on semisimple algebraic groups and their homogeneous spaces, quantitative non-Euclidean lattice point counting problems and their application to number theory, as well as equidistribution and non-commutative Diophantine approximation. Many examples and applications are provided in the text, demonstrating the usefulness of the results established
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-0-691-14184-8
    Language: English
    URL: Volltext  (URL des Erstveröffentlichers)
    Library Location Call Number Volume/Issue/Year Availability
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