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-> | ||
Princeton, N.J., : Princeton University Press, 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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-> | ||
Princeton, N.J., : Princeton University Press, 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz |
Autore | Katz Nicholas M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (257 pages) : illustrations |
Disciplina | 512/.7 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Gaussian sums
Kloosterman sums Homology theory Monodromy groups |
Soggetto non controllato |
Abelian category
Absolute Galois group Absolute value Additive group Adjoint representation Affine variety Algebraic group Automorphic form Automorphism Big O notation Cartan subalgebra Characteristic polynomial Classification theorem Coefficient Cohomology Cokernel Combination Commutator Compactification (mathematics) Complex Lie group Complex number Conjugacy class Continuous function Convolution theorem Convolution Determinant Diagonal matrix Dimension (vector space) Direct sum Dual basis Eigenvalues and eigenvectors Empty set Endomorphism Equidistribution theorem Estimation Exactness Existential quantification Exponential sum Exterior algebra Faithful representation Finite field Finite group Four-dimensional space Frobenius endomorphism Fundamental group Fundamental representation Galois group Gauss sum Homomorphism Integer Irreducibility (mathematics) Isomorphism class Kloosterman sum L-function Leray spectral sequence Lie algebra Lie theory Maximal compact subgroup Method of moments (statistics) Monodromy theorem Monodromy Morphism Multiplicative group Natural number Nilpotent Open problem P-group Pairing Parameter space Parameter Partially ordered set Perfect field Point at infinity Polynomial ring Prime number Quotient group Representation ring Representation theory Residue field Riemann hypothesis Root of unity Sheaf (mathematics) Simple Lie group Skew-symmetric matrix Smooth morphism Special case Spin representation Subgroup Support (mathematics) Symmetric matrix Symplectic group Symplectic vector space Tensor product Theorem Trace (linear algebra) Trivial representation Variable (mathematics) Weil conjectures Weyl character formula Zariski topology |
ISBN | 1-4008-8212-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Breaks and Swan Conductors -- CHAPTER 2. Curves and Their Cohomology -- CHAPTER 3. Equidistribution in Equal Characteristic -- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves -- CHAPTER 5. Convolution of Sheaves on Gm -- CHAPTER 6. Local Convolution -- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study -- CHAPTER 8. Complements on Convolution -- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums -- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves -- CHAPTER 11. Global Monodromy of Kloosterman Sheaves -- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber) -- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums -- References |
Record Nr. | UNINA-9910154750003321 |
Katz Nicholas M. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Twisted L-functions and monodromy [[electronic resource] /] / by Nicholas M. Katz |
Autore | Katz Nicholas M. <1943-> |
Edizione | [Core Textbook] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2002 |
Descrizione fisica | 1 online resource (258 p.) |
Disciplina | 512/.74 |
Collana | Annals of mathematics studies |
Soggetto topico |
L-functions
Monodromy groups |
Soggetto non controllato |
Abelian variety
Absolute continuity Addition Affine space Algebraically closed field Ambient space Average Betti number Birch and Swinnerton-Dyer conjecture Blowing up Codimension Coefficient Computation Conjecture Conjugacy class Convolution Critical value Differential geometry of surfaces Dimension (vector space) Dimension Direct sum Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Elliptic curve Equation Equidistribution theorem Existential quantification Factorization Finite field Finite group Finite set Flat map Fourier transform Function field Functional equation Goursat's lemma Ground field Group representation Hyperplane Hypersurface Integer matrix Integer Irreducible component Irreducible polynomial Irreducible representation J-invariant K3 surface L-function Lebesgue measure Lefschetz pencil Level of measurement Lie algebra Limit superior and limit inferior Minimal polynomial (field theory) Modular form Monodromy Morphism Numerical analysis Orthogonal group Percentage Polynomial Prime number Probability measure Quadratic function Quantity Quotient space (topology) Representation theory Residue field Riemann hypothesis Root of unity Scalar (physics) Set (mathematics) Sheaf (mathematics) Subgroup Summation Symmetric group System of imprimitivity Theorem Trivial representation Zariski topology |
ISBN |
1-282-82089-3
9786612820892 1-4008-2488-5 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Background material -- pt. 2. Twist sheaves, over an algebraically closed field -- pt. 3. Twist sheaves, over a finite field -- pt. 4. Twist sheaves over schemes of finite type over Z. |
Record Nr. | UNINA-9910785573203321 |
Katz Nicholas M. <1943-> | ||
Princeton, : Princeton University Press, 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Twisted L-functions and monodromy [[electronic resource] /] / by Nicholas M. Katz |
Autore | Katz Nicholas M. <1943-> |
Edizione | [Core Textbook] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2002 |
Descrizione fisica | 1 online resource (258 p.) |
Disciplina | 512/.74 |
Collana | Annals of mathematics studies |
Soggetto topico |
L-functions
Monodromy groups |
Soggetto non controllato |
Abelian variety
Absolute continuity Addition Affine space Algebraically closed field Ambient space Average Betti number Birch and Swinnerton-Dyer conjecture Blowing up Codimension Coefficient Computation Conjecture Conjugacy class Convolution Critical value Differential geometry of surfaces Dimension (vector space) Dimension Direct sum Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Elliptic curve Equation Equidistribution theorem Existential quantification Factorization Finite field Finite group Finite set Flat map Fourier transform Function field Functional equation Goursat's lemma Ground field Group representation Hyperplane Hypersurface Integer matrix Integer Irreducible component Irreducible polynomial Irreducible representation J-invariant K3 surface L-function Lebesgue measure Lefschetz pencil Level of measurement Lie algebra Limit superior and limit inferior Minimal polynomial (field theory) Modular form Monodromy Morphism Numerical analysis Orthogonal group Percentage Polynomial Prime number Probability measure Quadratic function Quantity Quotient space (topology) Representation theory Residue field Riemann hypothesis Root of unity Scalar (physics) Set (mathematics) Sheaf (mathematics) Subgroup Summation Symmetric group System of imprimitivity Theorem Trivial representation Zariski topology |
ISBN |
1-282-82089-3
9786612820892 1-4008-2488-5 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Background material -- pt. 2. Twist sheaves, over an algebraically closed field -- pt. 3. Twist sheaves, over a finite field -- pt. 4. Twist sheaves over schemes of finite type over Z. |
Record Nr. | UNINA-9910821229203321 |
Katz Nicholas M. <1943-> | ||
Princeton, : Princeton University Press, 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|