Mathematical finance, ISSN 0960-1627, 2017, Volume 27, Issue 4, pp. 963 - 987

.... Our first main result is a version of the fundamental theorem of asset pricing: NA 1(P) holds if and only if every P...

arbitrage of the first kind | fundamental theorem of asset pricing | superhedging duality | nondominated model | TRANSACTION COSTS | MODEL UNCERTAINTY | OPTIONS | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EXPECTATION | SOCIAL SCIENCES, MATHEMATICAL METHODS | ARBITRAGE | ECONOMICS | DISCRETE-TIME | Analysis | Financial markets | Economic models | Theorems | Uncertainty | Pricing | Trading | Hedging | Financial market | Probability | Quantitative Finance | Mathematics

arbitrage of the first kind | fundamental theorem of asset pricing | superhedging duality | nondominated model | TRANSACTION COSTS | MODEL UNCERTAINTY | OPTIONS | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EXPECTATION | SOCIAL SCIENCES, MATHEMATICAL METHODS | ARBITRAGE | ECONOMICS | DISCRETE-TIME | Analysis | Financial markets | Economic models | Theorems | Uncertainty | Pricing | Trading | Hedging | Financial market | Probability | Quantitative Finance | Mathematics

Journal Article

The journal of high energy physics, ISSN 1029-8479, 2018, Volume 2018, Issue 8, pp. 1 - 22

.... Using the F-theorem, we find bounds on the range of parameters for which the symmetry-breaking phase...

Duality in Gauge Field Theories | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Theorems | Broken symmetry | Gauge theory

Duality in Gauge Field Theories | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Theorems | Broken symmetry | Gauge theory

Journal Article

Journal of Geometric Analysis, ISSN 1050-6926, 04/2018, Volume 28, Issue 2, pp. 1456 - 1476

We prove stable versions of trace theorems on the sphere in L2 with optimal constants, thus obtaining rather precise information regarding near-extremisers...

Trace theorems | Duality | Stability estimates | MATHEMATICS | CONSTANTS | OPERATOR | SOBOLEV INEQUALITY | K-PLANE TRANSFORM | EQUATIONS | QUANTITATIVE FORM | REMAINDER TERMS

Trace theorems | Duality | Stability estimates | MATHEMATICS | CONSTANTS | OPERATOR | SOBOLEV INEQUALITY | K-PLANE TRANSFORM | EQUATIONS | QUANTITATIVE FORM | REMAINDER TERMS

Journal Article

Journal of statistical physics, ISSN 1572-9613, 2012, Volume 149, Issue 5, pp. 921 - 942

... among the probabilities in Î .We show, among other things, the analogous Kantorovich Duality Theorem...

Periodic orbits | Admissible pairs | Kantorovich Duality | Theoretical, Mathematical and Computational Physics | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Holonomic probabilities | Physics | Invariant probability | Physical Chemistry | Transport Theory | Ergodic Theory | Optimal plan | TEMPERATURE ZERO | MINIMIZING MEASURES | PRINCIPLE | PHYSICS, MATHEMATICAL | PERIODIC-ORBITS | DYNAMICS | OPTIMIZATION

Periodic orbits | Admissible pairs | Kantorovich Duality | Theoretical, Mathematical and Computational Physics | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Holonomic probabilities | Physics | Invariant probability | Physical Chemistry | Transport Theory | Ergodic Theory | Optimal plan | TEMPERATURE ZERO | MINIMIZING MEASURES | PRINCIPLE | PHYSICS, MATHEMATICAL | PERIODIC-ORBITS | DYNAMICS | OPTIMIZATION

Journal Article

SIAM journal on optimization, ISSN 1095-7189, 2014, Volume 24, Issue 2, pp. 678 - 701

...SIAM J. OPTIM. c Vol. 24, No. 2, pp. 678701 FROM THE FARKAS LEMMA TO THE HAHNBANACH THEOREM N. DINH, M. A. GOBERNA, M. A. LPEZ, AND T. H. MO Abstract...

Farkas lemma | Hahn-Banach theorem | Mazur-Orlicz theorem | Hahn-Banach-Lagrange theorem | MATHEMATICS, APPLIED | DUALITY | Theorems | Algebra | Equivalence | Perturbation methods | Mathematical analysis | Inequalities | Vector spaces | Optimization

Farkas lemma | Hahn-Banach theorem | Mazur-Orlicz theorem | Hahn-Banach-Lagrange theorem | MATHEMATICS, APPLIED | DUALITY | Theorems | Algebra | Equivalence | Perturbation methods | Mathematical analysis | Inequalities | Vector spaces | Optimization

Journal Article

Annals of operations research, ISSN 1572-9338, 2016, Volume 269, Issue 1-2, pp. 419 - 438

.... We prove a necessary optimality theorem for a weakly robust efficient solution of $${\mathrm{(RSIMP)}} $$ (RSIMP) , and then give a sufficient optimality theorem for a weakly robust efficient solution...

90C29 | Theory of Computation | Semi-infinite programming | Optimality conditions | Duality results | Business and Management | Robust optimization | 90C46 | Operations Research/Decision Theory | Multiobjective optimization | 90C34 | Weakly robust efficient solution | Combinatorics | Mu ltiobjective optimization | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PROGRAMS | Management science | Research | Mathematical research | Mathematical optimization | Studies | Multiple objective analysis | Theorems | Operations research | Robustness (mathematics) | Nonlinear programming | Optimization | Mathematical programming

90C29 | Theory of Computation | Semi-infinite programming | Optimality conditions | Duality results | Business and Management | Robust optimization | 90C46 | Operations Research/Decision Theory | Multiobjective optimization | 90C34 | Weakly robust efficient solution | Combinatorics | Mu ltiobjective optimization | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PROGRAMS | Management science | Research | Mathematical research | Mathematical optimization | Studies | Multiple objective analysis | Theorems | Operations research | Robustness (mathematics) | Nonlinear programming | Optimization | Mathematical programming

Journal Article

Journal of optimization theory and applications, ISSN 1573-2878, 2016, Volume 172, Issue 2, pp. 669 - 683

In the research of mathematical programming, duality theorems are essential and important elements...

Constraint qualification | Mathematics | Theory of Computation | Generator of quasiconvex functions | Optimization | Separable convex programming | Duality theorem | Calculus of Variations and Optimal Control; Optimization | 90C25 | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 26B25 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LAGRANGE DUALITY | SYSTEMS | OPTIMIZATION | SURROGATE DUALITY | Studies | Lagrange multiplier | Mathematical analysis | Convex analysis | Mathematical programming | Lagrange multipliers | Inequalities | Infimum | Programming | Convexity

Constraint qualification | Mathematics | Theory of Computation | Generator of quasiconvex functions | Optimization | Separable convex programming | Duality theorem | Calculus of Variations and Optimal Control; Optimization | 90C25 | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 26B25 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LAGRANGE DUALITY | SYSTEMS | OPTIMIZATION | SURROGATE DUALITY | Studies | Lagrange multiplier | Mathematical analysis | Convex analysis | Mathematical programming | Lagrange multipliers | Inequalities | Infimum | Programming | Convexity

Journal Article

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, ISSN 1355-2198, 2019, Volume 68, pp. 106 - 125

The CPT theorem states that any causal, Lorentz-invariant, thermodynamically well-behaved quantum field theory must also be invariant under a reflection symmetry that reverses the direction of time...

INVARIANCE | SYMMETRIES | PHYSICS, MULTIDISCIPLINARY | STATISTICS | OBSERVABLES | LIGHT | QUANTUM-FIELD THEORY | DUALITY CONDITION | HISTORY & PHILOSOPHY OF SCIENCE | TIME-REVERSAL | CHARGE-CONJUGATION

INVARIANCE | SYMMETRIES | PHYSICS, MULTIDISCIPLINARY | STATISTICS | OBSERVABLES | LIGHT | QUANTUM-FIELD THEORY | DUALITY CONDITION | HISTORY & PHILOSOPHY OF SCIENCE | TIME-REVERSAL | CHARGE-CONJUGATION

Journal Article

Journal of global optimization, ISSN 1573-2916, 2013, Volume 59, Issue 4, pp. 837 - 863

... âˆ˜ H that are satisfied in various favorable circumstances. The results are then applied to the contexts of alternative type theorems involving composite and DC functions...

Farkas-type results | Functional inequalities | Optimization | Economics / Management Science | Stable Farkas lemma | Set containments | 39B62 | Stable strong duality | 49J52 | Operations Research/Decision Theory | Nonconvex composite optimization problems | Alternative type theorems | Computer Science, general | 46N10 | Convex composite problems with conic constraints | Real Functions | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | SPACES | PROGRAMMING DUALITY | CONVEX CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DIFFERENCE | SYSTEMS | FARKAS LEMMA | Studies | Theorems | Conics | Composite functions | Direct current | Inequalities | Tools | Texts | Analysis of PDEs | Mathematics

Farkas-type results | Functional inequalities | Optimization | Economics / Management Science | Stable Farkas lemma | Set containments | 39B62 | Stable strong duality | 49J52 | Operations Research/Decision Theory | Nonconvex composite optimization problems | Alternative type theorems | Computer Science, general | 46N10 | Convex composite problems with conic constraints | Real Functions | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | SPACES | PROGRAMMING DUALITY | CONVEX CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DIFFERENCE | SYSTEMS | FARKAS LEMMA | Studies | Theorems | Conics | Composite functions | Direct current | Inequalities | Tools | Texts | Analysis of PDEs | Mathematics

Journal Article

Advances in Mathematics, ISSN 0001-8708, 01/2014, Volume 250, pp. 496 - 569

Let G be a finite group and Y a G-gerbe over an orbifold B. A disconnected orbifold YË† and a flat U(1)-gerbe c on YË† is canonically constructed from Y....

Hochschild cohomology | Duality | Orbifold | Gerbe | TWISTED K-THEORY | DIFFERENTIABLE STACKS | EQUIVALENCE | CHERN CHARACTER | MATHEMATICS | COHOMOLOGY | GROUPOIDS | DEFORMATION QUANTIZATION | GROMOV-WITTEN INVARIANTS | SHEAVES

Hochschild cohomology | Duality | Orbifold | Gerbe | TWISTED K-THEORY | DIFFERENTIABLE STACKS | EQUIVALENCE | CHERN CHARACTER | MATHEMATICS | COHOMOLOGY | GROUPOIDS | DEFORMATION QUANTIZATION | GROMOV-WITTEN INVARIANTS | SHEAVES

Journal Article

1986, Perspectives in mathematics. v. 1, ISBN 0124980406, x, 419, [2] p. --

Book

Journal of High Energy Physics, ISSN 1126-6708, 11/2014, Volume 2014, Issue 11, pp. 1 - 25

Recently, new soft graviton theorem proposed by Cachazo and Strominger has inspired a lot of works...

Duality in Gauge Field Theories | Gauge Symmetry | Scattering Amplitudes | Quantum Physics | Quantum Field Theories, String Theory | Strong Coupling Expansion | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHOTONS | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Resveratrol | Fysik | Physical Sciences | Subatomic Physics | Duality in Gauge Field | Naturvetenskap | Theories | SubatomÃ¤r fysik | Natural Sciences

Duality in Gauge Field Theories | Gauge Symmetry | Scattering Amplitudes | Quantum Physics | Quantum Field Theories, String Theory | Strong Coupling Expansion | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHOTONS | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Resveratrol | Fysik | Physical Sciences | Subatomic Physics | Duality in Gauge Field | Naturvetenskap | Theories | SubatomÃ¤r fysik | Natural Sciences

Journal Article

Stochastic processes and their applications, ISSN 0304-4149, 2015, Volume 125, Issue 5, pp. 1756 - 1798

For some backward stochastic Volterra integral equations (BSVIEs) in multi-dimensional Euclidean spaces, comparison theorems are established in a systematic way for the adapted solutions and adapted M-solutions...

Duality principle | Backward stochastic Volterra integral equation | Comparison theorem | Forward stochastic Volterra integral equations | MONETARY RISK MEASURES | REGULARITY | DIFFERENTIAL-EQUATIONS | STATISTICS & PROBABILITY | ADAPTED SOLUTION

Duality principle | Backward stochastic Volterra integral equation | Comparison theorem | Forward stochastic Volterra integral equations | MONETARY RISK MEASURES | REGULARITY | DIFFERENTIAL-EQUATIONS | STATISTICS & PROBABILITY | ADAPTED SOLUTION

Journal Article

Inventiones mathematicae, ISSN 1432-1297, 2011, Volume 186, Issue 1, pp. 79 - 114

We prove a theorem relating torus-equivariant coherent sheaves on toric varieties to polyhedrally-constructible sheaves on a vector space...

Mathematics, general | Mathematics | MATHEMATICS | DG-CATEGORIES | T-DUALITY | SHEAVES | MIRROR SYMMETRY

Mathematics, general | Mathematics | MATHEMATICS | DG-CATEGORIES | T-DUALITY | SHEAVES | MIRROR SYMMETRY

Journal Article

European Journal of Operational Research, ISSN 0377-2217, 05/2016, Volume 251, Issue 1, pp. 288 - 299

â€¢We prove a general existence theorem for quasi variational inequalities.â€¢We apply this result to a financial model in the case when the financial volumes depend on time and on the expected solutions...

Financial problem | Equilibrium condition | Evaluation index | Variational inequality formulation | EQUILIBRIUM PROBLEM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DUALITY | FORMULATION | Equilibrium (Economics) | Equality | Existence theorems | Analysis | Economics | Investments | Inequalities | Paper | Recall | Mathematical models | Operational research

Financial problem | Equilibrium condition | Evaluation index | Variational inequality formulation | EQUILIBRIUM PROBLEM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DUALITY | FORMULATION | Equilibrium (Economics) | Equality | Existence theorems | Analysis | Economics | Investments | Inequalities | Paper | Recall | Mathematical models | Operational research

Journal Article

1980, Dissertationes mathematicae = Rozprawy matematyczne, ISBN 9788301011048, Volume 168., 52

Book

Journal of Global Optimization, ISSN 0925-5001, 5/2015, Volume 62, Issue 1, pp. 155 - 165

This paper presents existence conditions and characterization theorems for minimal points of nonconvex vector optimization problems in reflexive Banach spaces...

Augmented dual cone | Existence theorem | Operations Research/Decision Theory | Mathematics | Computer Science, general | Nonlinear separation theorem | Sublinear scalarizing functions | Conic scalarization method | Proper efficiency | Optimization | Vector optimization | Real Functions | MATHEMATICS, APPLIED | RADIAL EPIDERIVATIVES | PORTFOLIO OPTIMIZATION | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PREFERENCES | BISHOP | EFFICIENT POINTS | SCALARIZATION | ASSIGNMENT | DUALITY | SEPARATION | Studies | Theorems | Vector space | Cones | Existence theorems | Mathematical analysis | Vectors (mathematics) | Banach space

Augmented dual cone | Existence theorem | Operations Research/Decision Theory | Mathematics | Computer Science, general | Nonlinear separation theorem | Sublinear scalarizing functions | Conic scalarization method | Proper efficiency | Optimization | Vector optimization | Real Functions | MATHEMATICS, APPLIED | RADIAL EPIDERIVATIVES | PORTFOLIO OPTIMIZATION | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PREFERENCES | BISHOP | EFFICIENT POINTS | SCALARIZATION | ASSIGNMENT | DUALITY | SEPARATION | Studies | Theorems | Vector space | Cones | Existence theorems | Mathematical analysis | Vectors (mathematics) | Banach space

Journal Article