The ergodic theory of lattice subgroups

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 ba...

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Bibliographic Details
Main Authors:	Gorodnik, Alexander, Nevo, Amos
Format:	eBook Book
Language:	English
Published:	Princeton, N.J Princeton University Press 2009
Edition:	1
Series:	Annals of Mathematics Studies
Subjects:	Amenable group Asymptotic analysis Asymptotic expansion Automorphism Bounded operator Bounded set (topological vector space) Congruence subgroup Coset Counting problem (complexity) Dimension (vector space) Dynamics Equidistribution theorem Ergodic theory Estimation Explicit formulae (L-function) Family of sets Haar measure Harmonic analysis Hilbert space Induced representation Infimum and supremum Interpolation theorem Invariant measure Isometry group Iwasawa group Lattice (group) Lattice theory Lie algebra Lie groups Linear algebraic group Linear space (geometry) Lipschitz continuity Mathematical induction MATHEMATICS MATHEMATICS / Group Theory MATHEMATICS / Number Theory MATHEMATICS / Probability & Statistics / General Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Metric space Monotonic function Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parity (mathematics) Pointwise Pointwise convergence Principal homogeneous space Principal series representation Probability measure Probability space Rate of convergence Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Statistics Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Volume form Subset P-adic number Counting problem (complexity) Bounded operator Subgroup Maximal ergodic theorem One-parameter group Spectral gap Mathematical induction Invariant measure Hilbert space Explicit formulae (L-function) Monotonic function Spectral method Volume form Amenable group Estimation Transfer principle Principal homogeneous space Unitary representation Isometry group Linear algebraic group Probability space Dimension (vector space) Infimum and supremum Coset Lattice (group) Asymptotic expansion Haar measure Congruence subgroup Subsequence Representation theory Special case Probability measure Unit sphere Ergodic theory Equidistribution theorem Metric space Maximal compact subgroup Tensor product Sobolev space Unit vector Operator norm Induced representation Upper and lower bounds Lipschitz continuity Unitary group Family of sets Principal series representation Symmetric space Pointwise Square (algebra) Theorem Interpolation theorem Rate of convergence Asymptotic analysis Automorphism Orthogonal complement Iwasawa group Tensor algebra Bounded set (topological vector space) Linear space (geometry) Pointwise convergence Variable (mathematics) Resolution of singularities Spectral theory Parity (mathematics) Lie algebra Measure (mathematics) Number theory
ISBN:	9780691141855, 1400831067, 9781400831067, 0691141843, 9780691141848, 0691141851
Online Access:	Get full text
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