Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu
| Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
| Autore | Simiu Emil |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 515/.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
| Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
| ISBN |
0-691-05094-5
1-4008-3250-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
| Record Nr. | UNINA-9910786748903321 |
Simiu Emil
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu
| Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
| Autore | Simiu Emil |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 515/.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
| Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
| ISBN |
0-691-05094-5
1-4008-3250-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
| Record Nr. | UNINA-9910827211303321 |
|
Simiu Emil
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics in one complex variable [[electronic resource] /] / by John Milnor
| Dynamics in one complex variable [[electronic resource] /] / by John Milnor |
| Autore | Milnor John W (John Willard), <1931-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina |
515.93
515/.93 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
| Soggetto non controllato |
Absolute value
Addition Algebraic equation Attractor Automorphism Beltrami equation Blaschke product Boundary (topology) Branched covering Coefficient Compact Riemann surface Compact space Complex analysis Complex number Complex plane Computation Connected component (graph theory) Connected space Constant function Continued fraction Continuous function Coordinate system Corollary Covering space Cross-ratio Derivative Diagram (category theory) Diameter Diffeomorphism Differentiable manifold Disjoint sets Disjoint union Disk (mathematics) Division by zero Equation Euler characteristic Existential quantification Exponential map (Lie theory) Fundamental group Harmonic function Holomorphic function Homeomorphism Hyperbolic geometry Inequality (mathematics) Integer Inverse function Irrational rotation Iteration Jordan curve theorem Julia set Lebesgue measure Lecture Limit point Line segment Linear map Linearization Mandelbrot set Mathematical analysis Maximum modulus principle Metric space Monotonic function Montel's theorem Normal family Open set Orbifold Parameter space Parameter Periodic point Point at infinity Polynomial Power series Proper map Quadratic function Rational approximation Rational function Rational number Real number Riemann sphere Riemann surface Root of unity Rotation number Schwarz lemma Scientific notation Sequence Simply connected space Special case Subgroup Subsequence Subset Summation Tangent space Theorem Topological space Topology Uniform convergence Uniformization theorem Unit circle Unit disk Upper half-plane Winding number |
| ISBN |
1-283-00148-9
9786613001481 1-4008-3553-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
| Record Nr. | UNINA-9910791879203321 |
|
Milnor John W (John Willard), <1931->
|
||
| Princeton, N.J., : Princeton University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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.
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain
| Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain |
| Autore | Bourgain Jean <1954-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2005 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 515.3/9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Schrödinger operator
Green's functions Hamiltonian systems Evolution equations |
| Soggetto non controllato |
Almost Mathieu operator
Analytic function Anderson localization Betti number Cartan's theorem Chaos theory Density of states Dimension (vector space) Diophantine equation Dynamical system Equation Existential quantification Fundamental matrix (linear differential equation) Green's function Hamiltonian system Hermitian adjoint Infimum and supremum Iterative method Jacobi operator Linear equation Linear map Linearization Monodromy matrix Non-perturbative Nonlinear system Normal mode Parameter space Parameter Parametrization Partial differential equation Periodic boundary conditions Phase space Phase transition Polynomial Renormalization Self-adjoint Semialgebraic set Special case Statistical significance Subharmonic function Summation Theorem Theory Transfer matrix Transversality (mathematics) Trigonometric functions Trigonometric polynomial Uniformization theorem |
| ISBN |
1-4008-3714-6
0-691-12098-6 |
| Classificazione | 33.06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgment -- Chapter 1. Introduction -- Chapter 2. Transfer Matrix and Lyapounov Exponent -- Chapter 3. Herman's Subharmonicity Method -- Chapter 4. Estimates on Subharmonic Functions -- Chapter 5. LDT for Shift Model -- Chapter 6. Avalanche Principle in SL2(R) -- Chapter 7. Consequences for Lyapounov Exponent, IDS, and Green's Function -- Chapter 8. Refinements -- Chapter 9. Some Facts about Semialgebraic Sets -- Chapter 10. Localization -- Chapter 11. Generalization to Certain Long-Range Models -- Chapter 12. Lyapounov Exponent and Spectrum -- Chapter 13. Point Spectrum in Multifrequency Models at Small Disorder -- Chapter 14. A Matrix-Valued Cartan-Type Theorem -- Chapter 15. Application to Jacobi Matrices Associated with Skew Shifts -- Chapter 16. Application to the Kicked Rotor Problem -- Chapter 17. Quasi-Periodic Localization on the Zd-lattice (d > 1) -- Chapter 18. An Approach to Melnikov's Theorem on Persistency of Nonresonant Lower Dimension Tori -- Chapter 19. Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations -- Chapter 20. Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations -- Appendix |
| Record Nr. | UNINA-9910790364803321 |
|
Bourgain Jean <1954->
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain
| Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain |
| Autore | Bourgain Jean <1954-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2005 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 515.3/9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Schrödinger operator
Green's functions Hamiltonian systems Evolution equations |
| Soggetto non controllato |
Almost Mathieu operator
Analytic function Anderson localization Betti number Cartan's theorem Chaos theory Density of states Dimension (vector space) Diophantine equation Dynamical system Equation Existential quantification Fundamental matrix (linear differential equation) Green's function Hamiltonian system Hermitian adjoint Infimum and supremum Iterative method Jacobi operator Linear equation Linear map Linearization Monodromy matrix Non-perturbative Nonlinear system Normal mode Parameter space Parameter Parametrization Partial differential equation Periodic boundary conditions Phase space Phase transition Polynomial Renormalization Self-adjoint Semialgebraic set Special case Statistical significance Subharmonic function Summation Theorem Theory Transfer matrix Transversality (mathematics) Trigonometric functions Trigonometric polynomial Uniformization theorem |
| ISBN |
1-4008-3714-6
0-691-12098-6 |
| Classificazione | 33.06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgment -- Chapter 1. Introduction -- Chapter 2. Transfer Matrix and Lyapounov Exponent -- Chapter 3. Herman's Subharmonicity Method -- Chapter 4. Estimates on Subharmonic Functions -- Chapter 5. LDT for Shift Model -- Chapter 6. Avalanche Principle in SL2(R) -- Chapter 7. Consequences for Lyapounov Exponent, IDS, and Green's Function -- Chapter 8. Refinements -- Chapter 9. Some Facts about Semialgebraic Sets -- Chapter 10. Localization -- Chapter 11. Generalization to Certain Long-Range Models -- Chapter 12. Lyapounov Exponent and Spectrum -- Chapter 13. Point Spectrum in Multifrequency Models at Small Disorder -- Chapter 14. A Matrix-Valued Cartan-Type Theorem -- Chapter 15. Application to Jacobi Matrices Associated with Skew Shifts -- Chapter 16. Application to the Kicked Rotor Problem -- Chapter 17. Quasi-Periodic Localization on the Zd-lattice (d > 1) -- Chapter 18. An Approach to Melnikov's Theorem on Persistency of Nonresonant Lower Dimension Tori -- Chapter 19. Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations -- Chapter 20. Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations -- Appendix |
| Record Nr. | UNINA-9910826528403321 |
|
Bourgain Jean <1954->
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
| The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
| Autore | Morgan John W. <1946-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 514/.2 |
| Collana | Mathematical Notes |
| Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
| Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
| ISBN | 1-4008-6516-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
| Record Nr. | UNINA-9910786749103321 |
|
Morgan John W. <1946->
|
||
| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
| The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
| Autore | Morgan John W. <1946-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 514/.2 |
| Collana | Mathematical Notes |
| Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
| Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
| ISBN | 1-4008-6516-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
| Record Nr. | UNINA-9910828604403321 |
|
Morgan John W. <1946->
|
||
| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||