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Distributed control of robotic networks [[electronic resource] ] : a mathematical approach to motion coordination algorithms / / Francesco Bullo, Jorge Cortés, Sonia Martínez
| Distributed control of robotic networks [[electronic resource] ] : a mathematical approach to motion coordination algorithms / / Francesco Bullo, Jorge Cortés, Sonia Martínez |
| Autore | Bullo Francesco |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (333 p.) |
| Disciplina | 629.8/9246 |
| Altri autori (Persone) |
CortésJorge <1974->
MartínezSonia <1974-> |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Robotics
Computer algorithms Robots - Control systems |
| Soggetto non controllato |
1-center problem
Adjacency matrix Aggregate function Algebraic connectivity Algebraic topology (object) Algorithm Analysis of algorithms Approximation algorithm Asynchronous system Bellman–Ford algorithm Bifurcation theory Bounded set (topological vector space) Calculation Cartesian product Centroid Chebyshev center Circulant matrix Circumscribed circle Cluster analysis Combinatorial optimization Combinatorics Communication complexity Computation Computational complexity theory Computational geometry Computational model Computer simulation Computer vision Connected component (graph theory) Connectivity (graph theory) Consensus (computer science) Control function (econometrics) Differentiable function Dijkstra's algorithm Dimensional analysis Directed acyclic graph Directed graph Discrete time and continuous time Disk (mathematics) Distributed algorithm Doubly stochastic matrix Dynamical system Eigenvalues and eigenvectors Estimation Euclidean space Function composition Hybrid system Information theory Initial condition Instance (computer science) Invariance principle (linguistics) Invertible matrix Iteration Iterative method Kinematics Laplacian matrix Leader election Linear dynamical system Linear interpolation Linear programming Lipschitz continuity Lyapunov function Markov chain Mathematical induction Mathematical optimization Mobile robot Motion planning Multi-agent system Network model Network topology Norm (mathematics) Numerical integration Optimal control Optimization problem Parameter (computer programming) Partition of a set Percolation theory Permutation matrix Polytope Proportionality (mathematics) Quantifier (logic) Quantization (signal processing) Robustness (computer science) Scientific notation Sensor Set (mathematics) Simply connected space Simulation Simultaneous equations State space State variable Stochastic matrix Stochastic Strongly connected component Synchronous network Theorem Time complexity Topology Variable (mathematics) Vector field |
| ISBN |
1-68015-897-X
1-282-45820-5 1-282-93575-5 9786612458200 9786612935756 1-4008-3147-4 0-691-14195-9 |
| Classificazione | SK 880 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An introduction to distributed algorithms -- Chapter Two. Geometric models and optimization -- Chapter Three. Robotic network models and complexity notions -- Chapter Four. Connectivity maintenance and rendezvous -- Chapter Five. Deployment -- Chapter Six. Boundary estimation and tracking -- Bibliography -- Algorithm Index -- Subject Index -- Symbol Index |
| Record Nr. | UNINA-9910781069103321 |
Bullo Francesco
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| Princeton, NJ, : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
| Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves |
| Autore | Cordaro Paulo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (398 pages) |
| Disciplina | 515/.782 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hyperfunctions
Submanifolds |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Analytic manifold Borel transform Boundary value problem Bounded function Bounded set (topological vector space) Bounded set C0 CR manifold Cauchy problem Codimension Coefficient Cohomology Compact space Complex manifold Complex number Complex space Connected space Continuous function (set theory) Continuous function Convex set Convolution Cotangent bundle Counterexample De Rham cohomology Dense set Differential operator Disjoint union Domain of a function Eigenvalues and eigenvectors Embedding Entire function Equation Equivalence class Equivalence relation Euclidean space Existential quantification Exterior algebra Exterior derivative Fiber bundle Fourier transform Function space Functional analysis Fundamental solution Harmonic function Holomorphic function Homomorphism Hyperfunction Hypersurface Infimum and supremum Integration by parts Laplace's equation Limit of a sequence Linear map Linear space (geometry) Linear subspace Locally convex topological vector space Mathematical induction Montel space Montel's theorem Morphism Neighbourhood (mathematics) Norm (mathematics) Open set Partial derivative Partial differential equation Polytope Presheaf (category theory) Pullback (category theory) Pullback Quotient space (topology) Radon measure Real structure Riemann sphere Serre duality Several complex variables Sheaf (mathematics) Sheaf cohomology Singular integral Sobolev space Special case Submanifold Subsequence Subset Summation Tangent bundle Theorem Topology of uniform convergence Topology Transitive relation Transpose Transversal (geometry) Uniform convergence Uniqueness theorem Vanish at infinity Variable (mathematics) Vector bundle Vector field Wave front set |
| ISBN | 1-4008-8256-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| Record Nr. | UNINA-9910154744403321 |
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Cordaro Paulo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson
| Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson |
| Autore | Nelson Edward |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (109 pages) : illustrations |
| Disciplina | 519.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Martingales (Mathematics)
Stochastic processes Probabilities |
| Soggetto non controllato |
Abraham Robinson
Absolute value Addition Algebra of random variables Almost surely Axiom Axiomatic system Borel set Bounded function Cantor's diagonal argument Cardinality Cartesian product Central limit theorem Chebyshev's inequality Compact space Contradiction Convergence of random variables Corollary Correlation coefficient Counterexample Dimension (vector space) Dimension Division by zero Elementary function Estimation Existential quantification Family of sets Finite set Hyperplane Idealization Independence (probability theory) Indicator function Infinitesimal Internal set theory Joint probability distribution Law of large numbers Linear function Martingale (probability theory) Mathematical induction Mathematician Mathematics Measure (mathematics) N0 Natural number Non-standard analysis Norm (mathematics) Orthogonal complement Parameter Path space Predictable process Probability distribution Probability measure Probability space Probability theory Probability Product topology Projection (linear algebra) Quadratic variation Random variable Real number Requirement Scientific notation Sequence Set (mathematics) Significant figures Special case Standard deviation Statistical mechanics Stochastic process Subalgebra Subset Summation Theorem Theory Total variation Transfer principle Transfinite number Trigonometric functions Upper and lower bounds Variable (mathematics) Variance Vector space W0 Wiener process Without loss of generality |
| ISBN | 1-4008-8214-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table of contents -- Preface -- Acknowledgments -- 1. Random variables -- 2. Algebras of random variables -- 3. Stochastic processes -- 4. External concepts -- 5. Infinitesimals -- 6. External analogues of internal notions -- 7. Properties that hold almost everywhere -- 8. L1 random variables 30 -- 9. The decomposition of a stochastic process -- 10. The total variation of a process -- 11. Convergence of martingales -- 12. Fluctuations of martingales -- 13. Discontinuities of martingales -- 14. The Lindeberg condition -- 15. The maximum of a martingale -- 16. The law of large numbers -- 17. Nearly equivalent stochastic processes -- 18. The de Moivre-Laplace-Lindeberg-Feller-Wiener- Lévy-Doob-Erdös-Kac-Donsker-Prokhorov theorem -- Appendix -- Index |
| Record Nr. | UNINA-9910154754503321 |
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Nelson Edward
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Recent Developments in Several Complex Variables. (AM-100), Volume 100 / / John Erik Fornaess
| Recent Developments in Several Complex Variables. (AM-100), Volume 100 / / John Erik Fornaess |
| Autore | Fornaess John Erik |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (468 pages) : illustrations |
| Disciplina | 515.9/4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functions of several complex variables |
| Soggetto non controllato |
Analytic continuation
Analytic function Analytic set Analytic space Asymptotic expansion Automorphic function Axiom Base change Bergman metric Betti number Big O notation Bilinear form Boundary value problem CR manifold Canonical bundle Cauchy problem Cauchy–Riemann equations Characteristic variety Codimension Coefficient Cohomology ring Cohomology Commutative property Commutator Compactification (mathematics) Complete intersection Complete metric space Complex dimension Complex manifold Complex number Complex plane Complex projective space Complex space Complex-analytic variety Degeneracy (mathematics) Dense set Determinant Diffeomorphism Differentiable function Dimension (vector space) Dimension Eigenvalues and eigenvectors Embedding Existential quantification Explicit formulae (L-function) Fermat curve Fiber bundle Fundamental solution Gorenstein ring Hartogs' extension theorem Hilbert space Hilbert transform Holomorphic function Homotopy Hyperfunction Hypersurface Hypoelliptic operator Interpolation theorem Irreducible component Isometry Linear map Manifold Maximal ideal Monic polynomial Monotonic function Multiple integral Nilpotent Lie algebra Norm (mathematics) Open set Orthogonal group Parametrization Permutation Plurisubharmonic function Polynomial Principal bundle Principal part Principal value Projection (linear algebra) Projective line Proper map Quadratic function Real projective space Resolution of singularities Riemann surface Riemannian manifold Sectional curvature Sheaf cohomology Special case Submanifold Subset Symplectic vector space Tangent space Theorem Topology Uniqueness theorem Unit disk Unit sphere Variable (mathematics) Vector bundle Vector field |
| ISBN | 1-4008-8154-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- THE FOUNDING OF THE ANNALS STUDIES -- FOREWORD -- TABLE OF CONTENTS -- PROJECTIVE CAPACITY / Alexander, H. -- ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES / Biancofiore, Aldo / Stoll, Wilhelm -- GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM Ē8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C2 / Brenton, Lawrence / Drucker, Daniel / Prins, Geert C. E. -- ON METRICS AND DISTORTION THEOREMS / Burbea, Jacob -- NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE ∂̅-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS / Catlin, David -- DAS FORMALE PRINZIP FÜR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL / Commichau, Michael / Grauert, Hans -- PERTURBATIONS OF ANALYTIC VARIETIES / D'Angelo, John P. -- BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES / Diederich, Klas / Fornaess, John Erik -- NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE (∂̅-PROBLEM) / Diederich, Klas / Pflug, Peter -- THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS / Ehrenpreis, Leon -- THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn / Graham, Ian -- STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS / Greene, R. E. / Krantz, Steven G. -- GLOBALE HOLOMORPHE KERNE ZUR LÖSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN / Hortmann, Michael -- MAPPINGS BETWEEN CR MANIFOLDS / Jacobowitz, Howard -- BOUNDARY REGULARITY OF ∂̅ / Kohn, J. J. -- ON CP1 AS AN EXCEPTIONAL SET / Laufer, Henry B. -- ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C2 / Lee, Hsuan-Pei / Wermer, John -- A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN'S THEOREM B / Markoe, Andrew -- SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS / Morrow, J. / Rossi, H. -- LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES / Nagel, Alexander / Wainger, Stephen -- ON APPELL'S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS / Sasaki, Takeshi / Takano, Kyoichi -- A CLASS OF HYPERBOLIC MANIFOLDS / Sibony, Nessim -- INTERPOLATION MANIFOLDS / Stout, Edgar Lee -- SURVEY OF SOME RECENT RESULTS IN C∞ AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES / Tartakoff, David S. -- THE FERMAT SURFACE AND ITS PERIODS / Tretkoff, Marvin D. -- SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS / Yau, Stephen S. -T. |
| Record Nr. | UNINA-9910154749403321 |
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Fornaess John Erik
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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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Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips
| Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips |
| Autore | Lax Peter D. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (313 pages) |
| Disciplina | 515.9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Automorphic functions
Scattering (Mathematics) |
| Soggetto non controllato |
Absolute continuity
Algebra Analytic continuation Analytic function Annulus (mathematics) Asymptotic distribution Automorphic function Bilinear form Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy sequence Change of variables Complex plane Conjugacy class Convolution Cusp neighborhood Cyclic group Derivative Differential equation Differential operator Dimension (vector space) Dimensional analysis Dirichlet integral Dirichlet series Eigenfunction Eigenvalues and eigenvectors Eisenstein series Elliptic operator Elliptic partial differential equation Equation Equivalence class Even and odd functions Existential quantification Explicit formula Explicit formulae (L-function) Exponential function Fourier transform Function space Functional analysis Functional calculus Fundamental domain Harmonic analysis Hilbert space Hyperbolic partial differential equation Infinitesimal generator (stochastic processes) Integral equation Integration by parts Invariant subspace Laplace operator Laplace transform Lebesgue measure Linear differential equation Linear space (geometry) Matrix (mathematics) Maximum principle Meromorphic function Modular group Neumann boundary condition Norm (mathematics) Null vector Number theory Operator theory Orthogonal complement Orthonormal basis Paley–Wiener theorem Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Primitive element (finite field) Principal component analysis Projection (linear algebra) Quadratic form Removable singularity Representation theorem Resolvent set Riemann hypothesis Riemann surface Riemann zeta function Riesz representation theorem Scatter matrix Scattering theory Schwarz reflection principle Selberg trace formula Self-adjoint Semigroup Sign (mathematics) Spectral theory Subgroup Subsequence Summation Support (mathematics) Theorem Trace class Trace formula Unitary operator Wave equation Weighted arithmetic mean Winding number |
| ISBN | 1-4008-8156-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- LIST OF SYMBOLS -- §1. INTRODUCTION -- §2. AN ABSTRACT SCATTERING THEORY -- §3. A MODIFIED THEORY FOR SECOND ORDER EQUATIONS WITH AN INDEFINITE ENERGY FORM -- §4. THE LAPLACE-BELTRAMI OPERATOR FOR THE MODULAR GROUP -- §5. THE AUTOMORPHIC WAVE EQUATIONS -- §6. INCOMING AND OUTGOING SUBSPACES FOR THE AUTOMORPHIC WAVE EQUATION -- §7. THE SCATTERING MATRIX FOR THE AUTOMORPHIC WAVE EQUATION -- §8. THE GENERAL CASE -- §9. THE SELBERG TRACE FORMULA -- REFERENCES -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154746703321 |
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Lax Peter D.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Seminar on minimal submanifolds / / edited by Enrico Bombieri
| Seminar on minimal submanifolds / / edited by Enrico Bombieri |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , 1983 |
| Descrizione fisica | 1 online resource (368 pages) : illustrations |
| Disciplina | 516.3/6 |
| Collana | Annals of mathematics studies |
| Soggetto topico | Minimal submanifolds |
| Soggetto non controllato |
A priori estimate
Analytic function Banach space Boundary (topology) Boundary value problem Bounded set (topological vector space) Branch point Cauchy–Riemann equations Center manifold Closed geodesic Codimension Coefficient Cohomology Compactness theorem Comparison theorem Configuration space Conformal geometry Conformal group Conformal map Continuous function Cross product Curve Degeneracy (mathematics) Diffeomorphism Differential form Dirac operator Discrete group Divergence theorem Eigenvalues and eigenvectors Elementary proof Equation Existence theorem Existential quantification Exterior derivative First variation Free boundary problem Fundamental group Gauss map Geodesic Geometry Group action Hamiltonian mechanics Harmonic function Harmonic map Hausdorff dimension Hausdorff measure Homotopy group Homotopy Hurewicz theorem Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic space Hypersurface Implicit function theorem Infimum and supremum Injective function Inner automorphism Isolated singularity Isometry group Isoperimetric problem Klein bottle Kleinian group Limit set Lipschitz continuity Mapping class group Maxima and minima Maximum principle Minimal surface of revolution Minimal surface Monotonic function Möbius transformation Norm (mathematics) Orthonormal basis Parametric surface Periodic function Poincaré conjecture Projection (linear algebra) Regularity theorem Riemann surface Riemannian manifold Schwarz reflection principle Second fundamental form Semi-continuity Simply connected space Special case Stein's lemma Subalgebra Subgroup Submanifold Subsequence Support (mathematics) Symplectic manifold Tangent space Teichmüller space Theorem Trace (linear algebra) Uniformization Uniqueness theorem Variational principle Yamabe problem |
| ISBN | 1-4008-8143-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- SURVEY LECTURES ON MINIMAL SUBMANIFOLDS -- ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES -- EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS -- ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES? -- ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS -- REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP -- CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS -- MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS -- MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE -- REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX -- AFFINE MINIMAL SURFACES -- THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM -- NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR -- APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS -- SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS -- ON THE GEHRING LINK PROBLEM -- CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES -- REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY -- NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS -- SOME PROPERTIES OF CAPILLARY FREE SURFACE -- BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY -- Backmatter |
| Record Nr. | UNINA-9910154753403321 |
| Princeton, NJ : , : Princeton University Press, , 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Three-Dimensional Geometry and Topology, Volume 1 : Volume 1 / / William P. Thurston; Silvio Levy
| Three-Dimensional Geometry and Topology, Volume 1 : Volume 1 / / William P. Thurston; Silvio Levy |
| Autore | Thurston William P. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2014] |
| Descrizione fisica | 1 online resource (312 pages) : illustrations |
| Disciplina | 516/.07 |
| Collana | Princeton Mathematical Series |
| Soggetto topico |
Geometry, Hyperbolic
Three-manifolds (Topology) |
| Soggetto non controllato |
3-sphere
Abelian group Affine space Affine transformation Atlas (topology) Automorphism Basis (linear algebra) Bounded set (topological vector space) Brouwer fixed-point theorem Cartesian coordinate system Characterization (mathematics) Compactification (mathematics) Conformal map Contact geometry Curvature Cut locus (Riemannian manifold) Diagram (category theory) Diffeomorphism Differentiable manifold Dimension (vector space) Dimension Disk (mathematics) Divisor (algebraic geometry) Dodecahedron Eigenvalues and eigenvectors Embedding Euclidean space Euler number Exterior (topology) Facet (geometry) Fiber bundle Foliation Fundamental group Gaussian curvature Geometry Group homomorphism Half-space (geometry) Holonomy Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperboloid model Interior (topology) Intersection (set theory) Isometry group Isometry Jordan curve theorem Lefschetz fixed-point theorem Lie algebra Lie group Line (geometry) Linear map Linearization Manifold Mathematical induction Metric space Moduli space Möbius transformation Norm (mathematics) Pair of pants (mathematics) Piecewise linear manifold Piecewise linear Poincaré disk model Polyhedron Projection (linear algebra) Projection (mathematics) Pseudogroup Pullback (category theory) Quasi-isometry Quotient space (topology) Riemann mapping theorem Riemann surface Riemannian manifold Sheaf (mathematics) Sign (mathematics) Simplicial complex Simply connected space Special linear group Stokes' theorem Subgroup Subset Tangent space Tangent vector Tetrahedron Theorem Three-dimensional space (mathematics) Topological group Topological manifold Topological space Topology Transversal (geometry) Two-dimensional space Uniformization theorem Unit sphere Variable (mathematics) Vector bundle Vector field |
| ISBN | 1-4008-6532-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Reader's Advisory -- 1 What Is a Manifold? -- 2 Hyperbolic Geometry and Its Friends -- 3 Geometric Manifolds -- 4 The Structure of Discrete Groups -- Glossary -- Bibliography -- Index |
| Record Nr. | UNINA-9910163942403321 |
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Thurston William P.
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| Princeton, NJ : , : Princeton University Press, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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