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The Ergodic Theory of Lattice Subgroups (AM-172)
Alexander Gorodnik
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Description for The Ergodic Theory of Lattice Subgroups (AM-172)
Paperback. Develops a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. This book formulates simple general conditions on the spectral theory of the group and the regularity of the averaging sets, which suffice to guarantee convergence to the ergodic mean. Series: Annals of Mathematics Studies. Num Pages: 160 pages, 2 line illus. BIC Classification: PBG; PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 13. Weight in Grams: 199.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Princeton University Press United States
Number of pages
136
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
160
Place of Publication
New Jersey, United States
ISBN
9780691141855
SKU
V9780691141855
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Alexander Gorodnik
Alexander Gorodnik is senior research fellow in mathematics at the University of Bristol. Amos Nevo is professor of mathematics at the Technion, Israel Institute for Technology.
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