TY - GEN T1 - The ergodic theory of lattice subgroups T2 - Annals of mathematics studies ; A1 - Gorodnik, Alexander, 1975- A2 - Nevo, Amos, 1966- LA - English PP - Princeton PB - Princeton University Press YR - 2010 UL - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_ocn507428541 AB - 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 the. OP - 120 CN - QA313 .G67 2010eb SN - 9781400831067 SN - 1400831067 SN - 1282303805 SN - 9781282303805 SN - 9780691141848 SN - 0691141843 SN - 9780691141855 SN - 0691141851 KW - Ergodic theory. KW - Lie groups. KW - Lattice theory. KW - Harmonic analysis. KW - Dynamics. KW - Théorie ergodique. KW - Groupes de Lie. KW - Théorie des treillis. KW - Analyse harmonique. KW - Dynamique. KW - kinetics (dynamics) KW - MATHEMATICS : Calculus. KW - MATHEMATICS : Mathematical Analysis. KW - MATHEMATICS : Group Theory. KW - Dynamics KW - Ergodic theory KW - Harmonic analysis KW - Lattice theory KW - Lie groups ER -