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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
| 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.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt
| Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt |
| Autore | Mesbahi Mehran |
| Edizione | [STU student edition] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (424 pages) |
| Disciplina | 006.3 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Network analysis (Planning) - Graphic methods
Multiagent systems - Mathematical models |
| Soggetto non controllato |
Addition
Adjacency matrix Algebraic graph theory Algorithm Automorphism Bipartite graph Cardinality Cartesian product Circulant graph Combinatorics Complete graph Computation Connectivity (graph theory) Controllability Convex combination Corollary Cycle graph (algebra) Cycle space Degree (graph theory) Degree matrix Diagonal matrix Diameter Differentiable function Dimension Directed graph Division by zero Dynamical system Eigenvalues and eigenvectors Equilibrium point Estimation Estimator Existential quantification Extremal graph theory Graph (discrete mathematics) Graph theory Identity matrix Incidence matrix Information exchange Initial condition Interconnection Iteration Kalman filter Kronecker product LTI system theory LaSalle's invariance principle Laplacian matrix Least squares Line graph Linear map Lipschitz continuity Lyapunov function Lyapunov stability Markov chain Mathematical optimization Matrix exponential Measurement Multi-agent system Nash equilibrium Natural number Network topology Nonnegative matrix Notation Observability Optimal control Optimization problem Pairwise Parameter Path graph Permutation matrix Permutation Positive semidefinite Positive-definite matrix Probability Quantity Random graph Random variable Rate of convergence Requirement Result Robotics Scientific notation Sensor Sign (mathematics) Simplicial complex Special case Spectral graph theory Stochastic matrix Strongly connected component Subset Summation Supergraph Symmetric matrix Systems theory Theorem Theory Unit interval Upper and lower bounds Variable (mathematics) Vector space Without loss of generality |
| ISBN |
9781400835355 (electronic book)
1-282-97910-8 9786612979101 1-4008-3535-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index |
| Record Nr. | UNINA-9910785659103321 |
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Mesbahi Mehran
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| Princeton : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt
| Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt |
| Autore | Mesbahi Mehran |
| Edizione | [STU student edition] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (424 pages) |
| Disciplina | 006.3 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Network analysis (Planning) - Graphic methods
Multiagent systems - Mathematical models |
| Soggetto non controllato |
Addition
Adjacency matrix Algebraic graph theory Algorithm Automorphism Bipartite graph Cardinality Cartesian product Circulant graph Combinatorics Complete graph Computation Connectivity (graph theory) Controllability Convex combination Corollary Cycle graph (algebra) Cycle space Degree (graph theory) Degree matrix Diagonal matrix Diameter Differentiable function Dimension Directed graph Division by zero Dynamical system Eigenvalues and eigenvectors Equilibrium point Estimation Estimator Existential quantification Extremal graph theory Graph (discrete mathematics) Graph theory Identity matrix Incidence matrix Information exchange Initial condition Interconnection Iteration Kalman filter Kronecker product LTI system theory LaSalle's invariance principle Laplacian matrix Least squares Line graph Linear map Lipschitz continuity Lyapunov function Lyapunov stability Markov chain Mathematical optimization Matrix exponential Measurement Multi-agent system Nash equilibrium Natural number Network topology Nonnegative matrix Notation Observability Optimal control Optimization problem Pairwise Parameter Path graph Permutation matrix Permutation Positive semidefinite Positive-definite matrix Probability Quantity Random graph Random variable Rate of convergence Requirement Result Robotics Scientific notation Sensor Sign (mathematics) Simplicial complex Special case Spectral graph theory Stochastic matrix Strongly connected component Subset Summation Supergraph Symmetric matrix Systems theory Theorem Theory Unit interval Upper and lower bounds Variable (mathematics) Vector space Without loss of generality |
| ISBN |
9781400835355 (electronic book)
1-282-97910-8 9786612979101 1-4008-3535-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index |
| Record Nr. | UNINA-9910816716403321 |
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Mesbahi Mehran
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| Princeton : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant
| Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant |
| Autore | Golub Gene H (Gene Howard), <1932-2007.> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (376 p.) |
| Disciplina | 512.9434 |
| Altri autori (Persone) | MeurantGérard A |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Matrices
Numerical analysis |
| Soggetto non controllato |
Algorithm
Analysis of algorithms Analytic function Asymptotic analysis Basis (linear algebra) Basis function Biconjugate gradient method Bidiagonal matrix Bilinear form Calculation Characteristic polynomial Chebyshev polynomials Coefficient Complex number Computation Condition number Conjugate gradient method Conjugate transpose Cross-validation (statistics) Curve fitting Degeneracy (mathematics) Determinant Diagonal matrix Dimension (vector space) Eigenvalues and eigenvectors Equation Estimation Estimator Exponential function Factorization Function (mathematics) Function of a real variable Functional analysis Gaussian quadrature Hankel matrix Hermite interpolation Hessenberg matrix Hilbert matrix Holomorphic function Identity matrix Interlacing (bitmaps) Inverse iteration Inverse problem Invertible matrix Iteration Iterative method Jacobi matrix Krylov subspace Laguerre polynomials Lanczos algorithm Linear differential equation Linear regression Linear subspace Logarithm Machine epsilon Matrix function Matrix polynomial Maxima and minima Mean value theorem Meromorphic function Moment (mathematics) Moment matrix Moment problem Monic polynomial Monomial Monotonic function Newton's method Numerical analysis Numerical integration Numerical linear algebra Orthogonal basis Orthogonal matrix Orthogonal polynomials Orthogonal transformation Orthogonality Orthogonalization Orthonormal basis Partial fraction decomposition Polynomial Preconditioner QR algorithm QR decomposition Quadratic form Rate of convergence Recurrence relation Regularization (mathematics) Rotation matrix Singular value Square (algebra) Summation Symmetric matrix Theorem Tikhonov regularization Trace (linear algebra) Triangular matrix Tridiagonal matrix Upper and lower bounds Variable (mathematics) Vector space Weight function |
| ISBN |
1-282-45801-9
1-282-93607-7 9786612458019 1-4008-3388-4 |
| Classificazione | SK 915 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- PART 1. Theory -- Chapter 1. Introduction -- Chapter 2. Orthogonal Polynomials -- Chapter 3. Properties of Tridiagonal Matrices -- Chapter 4. The Lanczos and Conjugate Gradient Algorithms -- Chapter 5. Computation of the Jacobi Matrices -- Chapter 6. Gauss Quadrature -- Chapter 7. Bounds for Bilinear Forms uTƒ(A)v -- Chapter 8. Extensions to Nonsymmetric Matrices -- Chapter 9. Solving Secular Equations -- PART 2. Applications -- Chapter 10. Examples of Gauss Quadrature Rules -- Chapter 11. Bounds and Estimates for Elements of Functions of Matrices -- Chapter 12. Estimates of Norms of Errors in the Conjugate Gradient Algorithm -- Chapter 13. Least Squares Problems -- Chapter 14. Total Least Squares -- Chapter 15. Discrete Ill-Posed Problems -- Bibliography -- Index |
| Record Nr. | UNINA-9910780861503321 |
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Golub Gene H (Gene Howard), <1932-2007.>
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| Princeton, N.J., : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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