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

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

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 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 | Subatomär 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 | Subatomär fysik | Natural Sciences

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

Discrete Applied Mathematics, ISSN 0166-218X, 03/2019, Volume 256, pp. 59 - 82

We first prove a new separating hyperplane theorem characterizing when a pair of compact convex subsets K,K...

Support vector machines | Convex sets | Convex hull | Gilbert’s algorithm | Frank–Wolfe | Linear programming | Approximation algorithms | Duality | Separating hyperplane theorem | Quadratic programming | Gilbert's algorithm | MATHEMATICS, APPLIED | Frank-Wolfe | Computer science | Algorithms | Polytopes | Theorems | Euclidean geometry | Task complexity | Norms | Hulls (structures) | Hulls | Computational geometry | Hyperplanes | Euclidean space | Convexity | Iterative methods | Combinatorial analysis

Support vector machines | Convex sets | Convex hull | Gilbert’s algorithm | Frank–Wolfe | Linear programming | Approximation algorithms | Duality | Separating hyperplane theorem | Quadratic programming | Gilbert's algorithm | MATHEMATICS, APPLIED | Frank-Wolfe | Computer science | Algorithms | Polytopes | Theorems | Euclidean geometry | Task complexity | Norms | Hulls (structures) | Hulls | Computational geometry | Hyperplanes | Euclidean space | Convexity | Iterative methods | Combinatorial analysis

Journal Article

Journal of Convex Analysis, ISSN 0944-6532, 2018, Volume 25, Issue 3, pp. 939 - 956

.... Namely, randomized versions of the Mazur lemma and the Krein-Smulian theorem under mild stability properties are provided.

Stability properties | Locally L | convex module | Mazur lemma | Krein-Šmulian theorem | MATHEMATICS | stability properties | RANDOM NORMED MODULES | TOPOLOGIES | RISK MEASURES | Krein-Smulian theorem | DUALITY | SEPARATION | Locally L-0-convex module

Stability properties | Locally L | convex module | Mazur lemma | Krein-Šmulian theorem | MATHEMATICS | stability properties | RANDOM NORMED MODULES | TOPOLOGIES | RISK MEASURES | Krein-Smulian theorem | DUALITY | SEPARATION | Locally L-0-convex module

Journal Article

Classical and quantum gravity, ISSN 1361-6382, 2019, Volume 36, Issue 13, p. 135009

.... In particular, we first review that the theoretical no-go theorem, which states that the above is impossible, is based on two very strong assumptions, namely that a particular quantity cannot...

bounce cosmology | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | INFLATION | ASTRONOMY & ASTROPHYSICS | Horndeski theory | DUALITY | Galileon theory | UNIVERSE | MODIFIED GRAVITY | PHYSICS, PARTICLES & FIELDS

bounce cosmology | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | INFLATION | ASTRONOMY & ASTROPHYSICS | Horndeski theory | DUALITY | Galileon theory | UNIVERSE | MODIFIED GRAVITY | PHYSICS, PARTICLES & FIELDS

Journal Article

Topology and its Applications, ISSN 0166-8641, 04/2017, Volume 221, pp. 237 - 261

We prove a new duality theorem for the category of precontact algebras which implies the Stone Duality Theorem, its connected version obtained in [10...

2-(Pre)contact space | Stone 2-space | (Closed) relations | (Pre)contact algebra | Mereocompact space | u-Points | Stone adjacency space | (Complete) Boolean algebra | (Stone) duality | Stone space | C-semiregular spaces | CONTACT ALGEBRAS | MATHEMATICS, APPLIED | REPRESENTATION | BOOLEAN-ALGEBRAS | MATHEMATICS | Algebra

2-(Pre)contact space | Stone 2-space | (Closed) relations | (Pre)contact algebra | Mereocompact space | u-Points | Stone adjacency space | (Complete) Boolean algebra | (Stone) duality | Stone space | C-semiregular spaces | CONTACT ALGEBRAS | MATHEMATICS, APPLIED | REPRESENTATION | BOOLEAN-ALGEBRAS | MATHEMATICS | Algebra

Journal Article

11.
The structure theorem and duality theorem for endomorphism algebras of weak Hopf group coalgebras

Journal of Algebra and its Applications, ISSN 0219-4988, 11/2017, Volume 16, Issue 11

In this paper, we investigate the HOM-functor and state the structure theorem for endomorphism algebras of weak two-sided (H...

weak two-sided (H, A) -Hopf π -modules | Weak Hopf π -coalgebra | weak π -comodule algebra | MATHEMATICS | MATHEMATICS, APPLIED | weak pi-comodule algebra | weak two-sided (H, A)-Hopf pi-modules | MODULES | Weak Hopf pi-coalgebra

weak two-sided (H, A) -Hopf π -modules | Weak Hopf π -coalgebra | weak π -comodule algebra | MATHEMATICS | MATHEMATICS, APPLIED | weak pi-comodule algebra | weak two-sided (H, A)-Hopf pi-modules | MODULES | Weak Hopf pi-coalgebra

Journal Article

Communications in mathematical physics, ISSN 1432-0916, 2016, Volume 349, Issue 2, pp. 661 - 702

We give an elementary and explicit proof of the first fundamental theorem of invariant theory for the orthosymplectic supergroup by generalising the geometric method of Atiyah, Bott and Patodi to the supergroup context...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | MODULES | LIE-SUPERALGEBRAS | REPRESENTATIONS | ANALOG | INTEGRATION | HOWE DUALITY | WALLED BRAUER ALGEBRAS | GENERAL LINEAR SUPERALGEBRA | HOPF SUPERALGEBRA | PHYSICS, MATHEMATICAL | CHARACTER FORMULA | Algebra

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | MODULES | LIE-SUPERALGEBRAS | REPRESENTATIONS | ANALOG | INTEGRATION | HOWE DUALITY | WALLED BRAUER ALGEBRAS | GENERAL LINEAR SUPERALGEBRA | HOPF SUPERALGEBRA | PHYSICS, MATHEMATICAL | CHARACTER FORMULA | Algebra

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2008, Volume 2008, Issue 12, p. 020

...(N) gauge theory with N-f = 2N massless flavors in the infrared. Our example does not contradict the proof of the a-theorem via a-maximization, due to the presence of accidental symmetries in the infrared limit...

Supersymmetry and duality | Extended supersymmetry | Supersymmetric gauge theory | RENORMALIZATION-GROUP | PHASE | C-THEOREM | Extended Supersymmetry | MODULI SPACE | Supersymmetry and Duality | SUPERCONFORMAL FIELD-THEORIES | GAUGE | VACUA | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Supersymmetry and duality | Extended supersymmetry | Supersymmetric gauge theory | RENORMALIZATION-GROUP | PHASE | C-THEOREM | Extended Supersymmetry | MODULI SPACE | Supersymmetry and Duality | SUPERCONFORMAL FIELD-THEORIES | GAUGE | VACUA | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Letters in mathematical physics, ISSN 1573-0530, 2015, Volume 106, Issue 2, pp. 169 - 195

Using the theory of props we prove a formality theorem associated with universal quantizations of Lie bialgebras.

53D55 | Theoretical, Mathematical and Computational Physics | Statistical Physics, Dynamical Systems and Complexity | 17B37 | Physics | Lie bialgebras | props | Geometry | 17B62 | deformation quantization | 16T05 | Group Theory and Generalizations | Hopf algebras | COHOMOLOGY | KOSZUL DUALITY | PHYSICS, MATHEMATICAL | DEFORMATION-THEORY | Algebra

53D55 | Theoretical, Mathematical and Computational Physics | Statistical Physics, Dynamical Systems and Complexity | 17B37 | Physics | Lie bialgebras | props | Geometry | 17B62 | deformation quantization | 16T05 | Group Theory and Generalizations | Hopf algebras | COHOMOLOGY | KOSZUL DUALITY | PHYSICS, MATHEMATICAL | DEFORMATION-THEORY | Algebra

Journal Article

Advances in Mathematics, ISSN 0001-8708, 03/2018, Volume 327, pp. 128 - 160

We generalize the theory of Koszul complexes and Koszul algebras to symmetric tensor categories. In characteristic zero the generalization is routine, while in...

Tensor category | Lie algebra | Koszul duality | PBW theorem | MATHEMATICS | ALGEBRAS

Tensor category | Lie algebra | Koszul duality | PBW theorem | MATHEMATICS | ALGEBRAS

Journal Article

Topology and its applications, ISSN 0166-8641, 05/2018, Volume 240, pp. 69 - 77

We prove an open mapping theorem for the topological spaces dual to finitely presented Heyting algebras...

Intuitionistic logic | Uniform interpolation | Esakia duality | Applied topology | Geometry and Topology | MATHEMATICS | MATHEMATICS, APPLIED

Intuitionistic logic | Uniform interpolation | Esakia duality | Applied topology | Geometry and Topology | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 4/2007, Volume 13, Issue 2, pp. 113 - 166

The Density Theorem for Gabor Frames is one of the fundamental results of time-frequency analysis...

Abstract Harmonic Analysis | Fourier Analysis | Signal, Image and Speech Processing | Approximations and Expansions | Mathematics | Applications of Mathematics | Partial Differential Equations | Frames | Time-frequency analysis | Balian-Low Theorem | Density theorem | Duality principle | Localized frames | Janssen representation | Complete sequence | Riesz bases | Schauder bases | Gabor system | Modulation spaces | Homogeneous approximation property | Wexler-Raz biorthogonality relations | MATHEMATICS, APPLIED | RADAR AMBIGUITY FUNCTIONS | frames | Walnut representation | homogeneous approximation property | LINEAR INDEPENDENCE | VON-NEUMANN-ALGEBRAS | complete sequence | INTEGRABLE GROUP-REPRESENTATIONS | density theorem | duality principle | time-frequency analysis | von Neumann algebras | modulation spaces | WEYL-HEISENBERG FRAMES | localized frames | Weyl-Heisenberg system | NONLINEAR APPROXIMATION

Abstract Harmonic Analysis | Fourier Analysis | Signal, Image and Speech Processing | Approximations and Expansions | Mathematics | Applications of Mathematics | Partial Differential Equations | Frames | Time-frequency analysis | Balian-Low Theorem | Density theorem | Duality principle | Localized frames | Janssen representation | Complete sequence | Riesz bases | Schauder bases | Gabor system | Modulation spaces | Homogeneous approximation property | Wexler-Raz biorthogonality relations | MATHEMATICS, APPLIED | RADAR AMBIGUITY FUNCTIONS | frames | Walnut representation | homogeneous approximation property | LINEAR INDEPENDENCE | VON-NEUMANN-ALGEBRAS | complete sequence | INTEGRABLE GROUP-REPRESENTATIONS | density theorem | duality principle | time-frequency analysis | von Neumann algebras | modulation spaces | WEYL-HEISENBERG FRAMES | localized frames | Weyl-Heisenberg system | NONLINEAR APPROXIMATION

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

Soft Computing, ISSN 1432-7643, 4/2019, Volume 23, Issue 7, pp. 2289 - 2295

de Finetti’s Dutch book theorem explains why probability has to be additive on disjunctions of incompatible yes–no (Boolean) events...

Dutch book | Product measure | Free product | Coherent probability assessment | Carathéodory extension theorem | Engineering | Computational Intelligence | Coherent book | de Finetti’s coherent bet | Random variable | Product book | Independent events | Stone duality | Artificial Intelligence | Independence | Gamma $$ Γ functor | Riesz representation theorem | MV-algebraic tensor | Łukasiewicz logic | Measure on a Boolean algebra | Control, Robotics, Mechatronics | Continuous event | Product law | de Finetti’s Dutch book theorem | Independent Boolean subalgebras | Mathematical Logic and Foundations | Γ functor | THEOREM | functor | Caratheodory extension theorem | de Finetti's coherent bet | COHERENCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ukasiewicz logic | de Finetti's Dutch book theorem | Computer science | Algebra

Dutch book | Product measure | Free product | Coherent probability assessment | Carathéodory extension theorem | Engineering | Computational Intelligence | Coherent book | de Finetti’s coherent bet | Random variable | Product book | Independent events | Stone duality | Artificial Intelligence | Independence | Gamma $$ Γ functor | Riesz representation theorem | MV-algebraic tensor | Łukasiewicz logic | Measure on a Boolean algebra | Control, Robotics, Mechatronics | Continuous event | Product law | de Finetti’s Dutch book theorem | Independent Boolean subalgebras | Mathematical Logic and Foundations | Γ functor | THEOREM | functor | Caratheodory extension theorem | de Finetti's coherent bet | COHERENCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ukasiewicz logic | de Finetti's Dutch book theorem | Computer science | Algebra

Journal Article