The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
Autore | Gorodnik Alexander <1975-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (136 p.) |
Disciplina | 515/.48 |
Altri autori (Persone) | NevoAmos <1966-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) 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) Vector group Vector space Volume form Word metric |
ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
Record Nr. | UNINA-9910781200803321 |
Gorodnik Alexander <1975->
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Princeton, N.J., : Princeton University Press, 2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
Autore | Gorodnik Alexander <1975-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (136 p.) |
Disciplina | 515/.48 |
Altri autori (Persone) | NevoAmos <1966-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) 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) Vector group Vector space Volume form Word metric |
ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
Record Nr. | UNINA-9910825184303321 |
Gorodnik Alexander <1975->
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Princeton, N.J., : Princeton University Press, 2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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Ergodic Theory of Random Transformations / Yuri Kifer |
Autore | Kifer, Yuri |
Pubbl/distr/stampa | Boston, : Birkhäuser, 1986 |
Descrizione fisica | x, 210 p. ; 24 cm |
Soggetto topico |
28D05 - Measure-preserving transformations [MSC 2020]
60J05 - Discrete-time Markov processes on general state spaces [MSC 2020] 28D20 - Entropy and other invariants [MSC 2020] |
Soggetto non controllato |
Differential equations
Dynamical systems Ergodic theory Matrix theory Partial differential equations Probability Probability distribution Stochastic differential equations |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0254050 |
Kifer, Yuri
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Boston, : Birkhäuser, 1986 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Ergodic Theory on Compact Spaces / Manfred Denker, Christian Grillenberger, Karl Sigmund |
Autore | Denker, Manfred |
Pubbl/distr/stampa | Berlin, : Springer, 1976 |
Descrizione fisica | iv, 360 p. ; 24 cm |
Altri autori (Persone) |
Grillenberger, Christian
Sigmund, Karl |
Soggetto topico |
28-XX - Measure and integration [MSC 2020]
28D05 - Measure-preserving transformations [MSC 2020] 54Hxx - Connections of general topology with other structures, applications [MSC 2020] 28A50 - Integration and disintegration of measures [MSC 2020] |
Soggetto non controllato |
Average
Ergodic theory Ergodicity Finite Invariant Mixing Morphism Theorem |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0256866 |
Denker, Manfred
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Berlin, : Springer, 1976 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Ergodic Theory, Entropy / Meir Smorodinsky |
Autore | Smorodinsky, Meir |
Pubbl/distr/stampa | Berlin, : Springer, 1971 |
Descrizione fisica | iv, 64 p. ; 24 cm |
Soggetto topico |
28-XX - Measure and integration [MSC 2020]
28Dxx - Measure-theoretic ergodic theory [MSC 2020] |
Soggetto non controllato |
Ergodic theory
Morphisms Theorem |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0255262 |
Smorodinsky, Meir
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Berlin, : Springer, 1971 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Ergodic theory, open dynamics, and coherent structures / Wael Bahsoun, Christopher Bose, Gary Froyland editors |
Pubbl/distr/stampa | New York, : Springer, 2014 |
Descrizione fisica | XVI, 227 p. : ill. ; 24 cm |
Soggetto topico |
37-XX - Dynamical systems and ergodic theory [MSC 2020]
47A35 - Ergodic theory of linear operators [MSC 2020] 37C30 - Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. [MSC 2020] |
Soggetto non controllato |
Coherent structures
Ergodic theory Invariant Manifolds Open dynamical systems Transfer operator |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0102900 |
New York, : Springer, 2014 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Exploring the Riemann Zeta Function : 190 years from Riemann's Birth / Hugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias Editors ; With a preface by Freeman J. Dyson |
Pubbl/distr/stampa | Cham, : Springer, 2017 |
Descrizione fisica | x, 298 p. : ill. ; 24 cm |
Soggetto topico |
11-XX - Number theory [MSC 2020]
60-XX - Probability theory and stochastic processes [MSC 2020] 30-XX - Functions of a complex variable [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 41-XX - Approximations and expansions [MSC 2020] 33-XX - Special functions [MSC 2020] |
Soggetto non controllato |
Analytic Number Theory
Approximation theory Ergodic theory Harmonic analysis Probability Theory Special functions |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0123964 |
Cham, : Springer, 2017 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Flows on Compact Surfaces : The Weil–Hedlund–Anosov Program / Nelson G. Markley, Mary Vanderschoot |
Autore | Markley, Nelson G. |
Pubbl/distr/stampa | Cham, : Birkhäuser, : Springer, 2023 |
Descrizione fisica | xii, 362 p. : ill. ; 24 cm |
Altri autori (Persone) | Vanderschoot, Mary |
Soggetto non controllato |
Dynamical systems
Ergodic theory Flows on surfaces Flows on surfaces covering spaces Omega limit sets Surface flows Universal coverings |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0278581 |
Markley, Nelson G.
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Cham, : Birkhäuser, : Springer, 2023 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander |
Autore | Auslander Louis |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (121 pages) |
Disciplina | 516 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Topological dynamics |
Soggetto non controllato |
Additive group
Affine space Automorphism Change of basis Characteristic class Cohomology Combination Compact space Complex number Complexification Constant function Continuous function Corollary Coset Dense set Diagram (category theory) Dimension (vector space) Dimension Diophantine approximation Direct integral Direct sum Eigenfunction Eigenvalues and eigenvectors Empty set Ergodic theory Ergodicity Euclidean space Exact sequence Existential quantification Exponential function Exponential map (Lie theory) Fiber bundle Finite set Fundamental domain Fundamental group General position Geodesic Group representation Haar measure Hausdorff space Hilbert space Homeomorphism Homogeneous coordinates Homogeneous space Homomorphism Horocycle Identity component Imaginary number Induced representation Integer Invariant measure Irreducible component Lebesgue measure Lie algebra Lie group Linear fractional transformation Locally compact group Mathematical induction Measure (mathematics) Morphism Nilpotent Lie algebra Nilpotent group Nilpotent Non-abelian Normal subgroup One-dimensional space One-parameter group Open set Phase space Pointwise Projection (linear algebra) Regular element Remainder Representation theory Riemannian manifold Root system Semidirect product Solvable Lie algebra Solvable group Special case Stone's theorem Subalgebra Subgroup Subset Tangent space Tangent vector Theorem Three-dimensional space (mathematics) Topological group Topology Transformation matrix Transitive relation Two-dimensional space Unit sphere Unit vector Unitary operator Unitary representation Unitary transformation Vector space Without loss of generality |
ISBN | 1-4008-8202-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS / Auslander, Louis -- CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS / Green, L. -- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES / Auslander, L. / Green, L. / Hahn, F. -- APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES / Massey, W. -- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS / Auslander, L. / Hahn, F. / Markus, L. -- CHAPTER V. NILFLOWS, MEASURE THEORY / Green, L. -- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E / Auslander, L. / Hahn, F. -- CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS / Green, L. -- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) / Auslander, L. -- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS / Auslander, L. / Hahn, F. -- CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS / Greenberg, Leon -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154748203321 |
Auslander Louis
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Foundations of symmetric spaces of measurable functions : Lorentz, Marcinkiewicz and Orlicz spaces / Ben-Zion A. Rubshtein ... [et al.] |
Pubbl/distr/stampa | [Cham], : Springer, 2016 |
Descrizione fisica | XVII, 259 p. : ill. ; 24 cm |
Soggetto topico |
26D15 - Inequalities for sums, series and integrals [MSC 2020]
46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020] 46B10 - Duality and reflexivity in normed linear and Banach spaces [MSC 2020] 46B42 - Banach lattices [MSC 2020] 46B70 - Interpolation between normed linear spaces [MSC 2020] 26D10 - Inequalities involving derivatives and differential and integral operators [MSC 2020] 46E30 - Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc) [MSC 2020] 47G10 - Integral operators [MSC 2020] |
Soggetto non controllato |
Ergodic theory
Lorentz spaces Marcinkiewicz spaces Measure functions Orlicz spaces Orlicz-Lorentz spaces Quasi-concave functions Quasi-convex functions Symmetric spaces Theorem embedding Zygmund’s classes |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0114778 |
[Cham], : Springer, 2016 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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