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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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Robust optimization [[electronic resource] /] / Aharon Ben-Tal, Laurent El Ghaoui, Arkadi Nemirovski
| Robust optimization [[electronic resource] /] / Aharon Ben-Tal, Laurent El Ghaoui, Arkadi Nemirovski |
| Autore | Ben-Tal A |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (565 p.) |
| Disciplina | 519.6 |
| Altri autori (Persone) |
El GhaouiLaurent
NemirovskiĭArkadiĭ Semenovich |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Robust optimization
Linear programming |
| Soggetto non controllato |
0O
Accuracy and precision Additive model Almost surely Approximation algorithm Approximation Best, worst and average case Bifurcation theory Big O notation Candidate solution Central limit theorem Chaos theory Coefficient Computational complexity theory Constrained optimization Convex hull Convex optimization Convex set Cumulative distribution function Curse of dimensionality Decision problem Decision rule Degeneracy (mathematics) Diagram (category theory) Duality (optimization) Dynamic programming Exponential function Feasible region Floor and ceiling functions For All Practical Purposes Free product Ideal solution Identity matrix Inequality (mathematics) Infimum and supremum Integer programming Law of large numbers Likelihood-ratio test Linear dynamical system Linear inequality Linear map Linear matrix inequality Linear programming Linear regression Loss function Margin classifier Markov chain Markov decision process Mathematical optimization Max-plus algebra Maxima and minima Multivariate normal distribution NP-hardness Norm (mathematics) Normal distribution Optimal control Optimization problem Orientability P versus NP problem Pairwise Parameter Parametric family Probability distribution Probability Proportionality (mathematics) Quantity Random variable Relative interior Robust control Robust decision-making Robust optimization Semi-infinite Sensitivity analysis Simple set Singular value Skew-symmetric matrix Slack variable Special case Spherical model Spline (mathematics) State variable Stochastic calculus Stochastic control Stochastic optimization Stochastic programming Stochastic Strong duality Support vector machine Theorem Time complexity Uncertainty Uniform distribution (discrete) Unimodality Upper and lower bounds Variable (mathematics) Virtual displacement Weak duality Wiener filter With high probability Without loss of generality |
| ISBN |
1-282-25928-8
9786612259289 1-4008-3105-9 |
| Classificazione | SK 870 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Part I. Robust Linear Optimization -- Chapter One. Uncertain Linear Optimization Problems and their Robust Counterparts -- Chapter Two. Robust Counterpart Approximations of Scalar Chance Constraints -- Chapter Three. Globalized Robust Counterparts of Uncertain LO Problems -- Chapter Four. More on Safe Tractable Approximations of Scalar Chance Constraints -- Part II. Robust Conic Optimization -- Chapter Five. Uncertain Conic Optimization: The Concepts -- Chapter Six. Uncertain Conic Quadratic Problems with Tractable RCs -- Chapter Seven. Approximating RCs of Uncertain Conic Quadratic Problems -- Chapter Eight. Uncertain Semidefinite Problems with Tractable RCs -- Chapter Nine. Approximating RCs of Uncertain Semidefinite Problems -- Chapter Ten. Approximating Chance Constrained CQIs and LMIs -- Chapter Eleven. Globalized Robust Counterparts of Uncertain Conic Problems -- Chapter Twelve. Robust Classi¯cation and Estimation -- Part III. Robust Multi-Stage Optimization -- Chapter Thirteen. Robust Markov Decision Processes -- Chapter Fourteen. Robust Adjustable Multistage Optimization -- Part IV. Selected Applications -- Chapter Fifteen. Selected Applications -- Appendix A: Notation and Prerequisites -- Appendix B: Some Auxiliary Proofs -- Appendix C: Solutions to Selected Exercises -- Bibliography -- Index |
| Record Nr. | UNINA-9910778219003321 |
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Ben-Tal A
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| Princeton, NJ, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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