New Journal of Physics, ISSN 1367-2630, 12/2017, Volume 19, Issue 12, p. 123033

Coherence, the superposition of orthogonal quantum states, is indispensable in various quantum processes. Inspired by the polynomial invariant for classifying...

resource framework | convex roof | coherence | polynomial measure | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | STATE | Lower bounds | Permutations | Coherence | Roofs | Entanglement | Polynomials | Qubits (quantum computing) | Criteria | Invariants | Physics - Quantum Physics

resource framework | convex roof | coherence | polynomial measure | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | STATE | Lower bounds | Permutations | Coherence | Roofs | Entanglement | Polynomials | Qubits (quantum computing) | Criteria | Invariants | Physics - Quantum Physics

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2014, Volume 414, Issue 2, pp. 546 - 552

In this paper, measure-expansive diffeomorphisms are considered and the characterizations of the C1-interiors of the set of measure-expansive diffeomorphisms...

Measure-expansive | Expansive | Invariant measures | Hyperbolic | Axiom A | Quasi-Anosov | MATHEMATICS | MATHEMATICS, APPLIED | PROPERTY | QUASI-ANOSOV DIFFEOMORPHISMS

Measure-expansive | Expansive | Invariant measures | Hyperbolic | Axiom A | Quasi-Anosov | MATHEMATICS | MATHEMATICS, APPLIED | PROPERTY | QUASI-ANOSOV DIFFEOMORPHISMS

Journal Article

Probability Theory and Related Fields, ISSN 0178-8051, 4/2013, Volume 155, Issue 3, pp. 751 - 788

In this article, we consider the continuous analog of the celebrated Mandelbrot star equation with lognormal weights. Mandelbrot introduced this equation to...

60G57 | Scale invariance | Multifractal processes | Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Random measure | Probability Theory and Stochastic Processes | Mathematics | Quantitative Finance | Statistics for Business/Economics/Mathematical Finance/Insurance | Star equation | Multiplicative chaos | Operations Research/Decision Theory | Gaussian processes | 60G18 | 60H25 | 60G15 | STATISTICS & PROBABILITY | TURBULENCE | Isotropy | Law | Covariance | Mathematical analysis | Probability theory | Uniqueness | Gaussian | Invariants | Mathematics - Probability

60G57 | Scale invariance | Multifractal processes | Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Random measure | Probability Theory and Stochastic Processes | Mathematics | Quantitative Finance | Statistics for Business/Economics/Mathematical Finance/Insurance | Star equation | Multiplicative chaos | Operations Research/Decision Theory | Gaussian processes | 60G18 | 60H25 | 60G15 | STATISTICS & PROBABILITY | TURBULENCE | Isotropy | Law | Covariance | Mathematical analysis | Probability theory | Uniqueness | Gaussian | Invariants | Mathematics - Probability

Journal Article

IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 12/2009, Volume 31, Issue 12, pp. 2211 - 2226

Images of a human iris contain rich texture information useful for identity authentication. A key and still open issue in iris recognition is how best to...

Biometrics | feature representation | Humans | ordinal measures | Computational complexity | Image texture analysis | Filters | Image databases | Authentication | Lighting | Feature extraction | Robustness | multilobe differential filter | Iris recognition | Multilobe differential filter | Ordinal measures | Feature representation | VISION | IMAGES | CORTEX | iris recognition | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Biometric Identification - statistics & numerical data | Image Processing, Computer-Assisted | Iris - anatomy & histology | Biometric Identification - methods | Databases, Factual | Iris (Eye) | Image processing | Analysis | Physiological aspects | Pattern recognition | Object recognition (Computers) | Biometry | Intelligence | Surface layer | Images | Mathematical models | Representations | Texture | Invariants | Recognition

Biometrics | feature representation | Humans | ordinal measures | Computational complexity | Image texture analysis | Filters | Image databases | Authentication | Lighting | Feature extraction | Robustness | multilobe differential filter | Iris recognition | Multilobe differential filter | Ordinal measures | Feature representation | VISION | IMAGES | CORTEX | iris recognition | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Biometric Identification - statistics & numerical data | Image Processing, Computer-Assisted | Iris - anatomy & histology | Biometric Identification - methods | Databases, Factual | Iris (Eye) | Image processing | Analysis | Physiological aspects | Pattern recognition | Object recognition (Computers) | Biometry | Intelligence | Surface layer | Images | Mathematical models | Representations | Texture | Invariants | Recognition

Journal Article

European Journal of Operational Research, ISSN 0377-2217, 2001, Volume 130, Issue 3, pp. 498 - 509

In this paper, we will propose a slacks-based measure (SBM) of efficiency in Data Envelopment Analysis (DEA). This scalar measure deals directly with the input...

DEA | Slacks | Units invariant | Profit | Efficiency | Russell measure | efficiency | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | units invariant | BANKS | TRANSLATION-INVARIANCE | TECHNICAL EFFICIENCY | DEA MODELS | profit | UNITS | slacks | Research | Data envelopment analysis | Industrial efficiency

DEA | Slacks | Units invariant | Profit | Efficiency | Russell measure | efficiency | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | units invariant | BANKS | TRANSLATION-INVARIANCE | TECHNICAL EFFICIENCY | DEA MODELS | profit | UNITS | slacks | Research | Data envelopment analysis | Industrial efficiency

Journal Article

Physics Letters A, ISSN 0375-9601, 02/2017, Volume 381, Issue 8, pp. 821 - 822

A correct version of the proof of Proposition 9 in [1] is given below. Other results of [1] are not affected. •We study the ergodic properties of a non-smooth...

Absolutely continuous invariant measures | Induced Markov map | Grazing-impact oscillators

Absolutely continuous invariant measures | Induced Markov map | Grazing-impact oscillators

Journal Article

Advances in Mathematics, ISSN 0001-8708, 01/2017, Volume 306, pp. 24 - 50

We prove stability results for two central inequalities involving the cone-volume measure of a centered convex body: the subspace concentration conditions and...

Polytope | Centroid | Subspace concentration condition | Log-Minkowski problem | Centro-affine inequalities | U-functional | Cone-volume measure | P MINKOWSKI PROBLEM | SURFACE MEASURE | SPHERE | INEQUALITY | INVARIANT | POLYTOPES | MATHEMATICS | REGULARITY

Polytope | Centroid | Subspace concentration condition | Log-Minkowski problem | Centro-affine inequalities | U-functional | Cone-volume measure | P MINKOWSKI PROBLEM | SURFACE MEASURE | SPHERE | INEQUALITY | INVARIANT | POLYTOPES | MATHEMATICS | REGULARITY

Journal Article

Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 06/2019, Volume 29, Issue 6, p. 063125

Transport and mixing processes in fluid flows can be studied directly from Lagrangian trajectory data, such as those obtained from particle tracking...

SPARSE | MATHEMATICS, APPLIED | TRANSPORT | ALMOST-INVARIANT | PHYSICS, MATHEMATICAL | TIME COHERENT SETS

SPARSE | MATHEMATICS, APPLIED | TRANSPORT | ALMOST-INVARIANT | PHYSICS, MATHEMATICAL | TIME COHERENT SETS

Journal Article

Probability Theory and Related Fields, ISSN 0178-8051, 6/2019, Volume 174, Issue 1, pp. 307 - 334

We study a class of Markov chains that model the evolution of a quantum system subject to repeated measurements. Each Markov chain in this class is defined by...

Statistics for Business, Management, Economics, Finance, Insurance | Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Operations Research/Decision Theory | 81Q99 (Discrete time Markov chains and Quantum Theory General) | Probability Theory and Stochastic Processes | Mathematics | 60J05 | Quantitative Finance | ERGODIC THEOREM | STATISTICS & PROBABILITY | Markov processes | Analysis | Quantum theory | Markov chains | Trajectory measurement | Markov analysis | Invariants | Probability | Quantum Physics | Mathematical Physics | Physics

Statistics for Business, Management, Economics, Finance, Insurance | Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Operations Research/Decision Theory | 81Q99 (Discrete time Markov chains and Quantum Theory General) | Probability Theory and Stochastic Processes | Mathematics | 60J05 | Quantitative Finance | ERGODIC THEOREM | STATISTICS & PROBABILITY | Markov processes | Analysis | Quantum theory | Markov chains | Trajectory measurement | Markov analysis | Invariants | Probability | Quantum Physics | Mathematical Physics | Physics

Journal Article

Duke Mathematical Journal, ISSN 0012-7094, 07/2010, Volume 154, Issue 1, pp. 1 - 30

A description of continuous rigid motion compatible Minkowski valuations is established. As an application, we present a Brunn-Minkowski type inequality for...

MATHEMATICS | INEQUALITIES | INTEGRAL GEOMETRY | CONVOLUTIONS | BODIES | MULTIPLICATIVE STRUCTURE | MANIFOLDS | INVARIANT VALUATIONS | ENDOMORPHISMS | FORMULA | HARD LEFSCHETZ THEOREM | 52A90 | 43A90 | 52A40

MATHEMATICS | INEQUALITIES | INTEGRAL GEOMETRY | CONVOLUTIONS | BODIES | MULTIPLICATIVE STRUCTURE | MANIFOLDS | INVARIANT VALUATIONS | ENDOMORPHISMS | FORMULA | HARD LEFSCHETZ THEOREM | 52A90 | 43A90 | 52A40

Journal Article

NONLINEARITY, ISSN 0951-7715, 02/2019, Volume 32, Issue 2, pp. 496 - 558

In this paper we analyze the derivative nonlinear Schrodinger equation on T with randomized initial data in boolean AND H-s<1/2(s)(T) chosen according to a...

almost sure well-posedness | nonlinear dispersive equations | invariant measures | MATHEMATICS, APPLIED | partial differential equations | NONLINEAR SCHRODINGER-EQUATION | PHYSICS, MATHEMATICAL | GLOBAL WELL-POSEDNESS

almost sure well-posedness | nonlinear dispersive equations | invariant measures | MATHEMATICS, APPLIED | partial differential equations | NONLINEAR SCHRODINGER-EQUATION | PHYSICS, MATHEMATICAL | GLOBAL WELL-POSEDNESS

Journal Article

Physica D: Nonlinear Phenomena, ISSN 0167-2789, 12/2019, Volume 399, pp. 73 - 85

We consider an Itô stochastic differential equation and study the asymptotic behaviors of stationary measures of the corresponding Fokker–Planck equation in...

Stationary measure | Qualitative concentration | Stochastic stability | Fokker–Planck equation | Lyapunov function | MATHEMATICS, APPLIED | INVARIANT-MEASURES | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | EQUATIONS | Fokker-Planck equation | PHYSICS, MATHEMATICAL | SYSTEMATIC MEASURES | Differential equations

Stationary measure | Qualitative concentration | Stochastic stability | Fokker–Planck equation | Lyapunov function | MATHEMATICS, APPLIED | INVARIANT-MEASURES | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | EQUATIONS | Fokker-Planck equation | PHYSICS, MATHEMATICAL | SYSTEMATIC MEASURES | Differential equations

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2017, Volume 453, Issue 1, pp. 195 - 211

We extend Ando–Hiai's log-majorization for the weighted geometric mean of positive definite matrices into that for the Cartan barycenter in the general setting...

Lie–Trotter formula | Wasserstein distance | Log-majorization | Unitarily invariant norm | Cartan barycenter | Positive definite matrix | MATHEMATICS | MATHEMATICS, APPLIED | Lie-Trotter formula | INEQUALITIES | MATRICES

Lie–Trotter formula | Wasserstein distance | Log-majorization | Unitarily invariant norm | Cartan barycenter | Positive definite matrix | MATHEMATICS | MATHEMATICS, APPLIED | Lie-Trotter formula | INEQUALITIES | MATRICES

Journal Article

Pattern Recognition, ISSN 0031-3203, 2010, Volume 43, Issue 1, pp. 47 - 57

In this paper we propose a new circularity measure which defines the degree to which a shape differs from a perfect circle. The new measure is easy to compute...

Circularity measure | Moments | Shape | Image processing | Hu moment invariants | CLASSIFICATION | CONVEXITY MEASURE | ELLIPTICITY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | PATTERN-RECOGNITION | SYMMETRY DETECTION | BOUNDARY | POLYGONS | Intrusions (Geology) | Computer science | Equipment and supplies

Circularity measure | Moments | Shape | Image processing | Hu moment invariants | CLASSIFICATION | CONVEXITY MEASURE | ELLIPTICITY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | PATTERN-RECOGNITION | SYMMETRY DETECTION | BOUNDARY | POLYGONS | Intrusions (Geology) | Computer science | Equipment and supplies

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 9/2015, Volume 201, Issue 3, pp. 773 - 844

We consider $$C^2$$ C 2 families $$t \mapsto f_t$$ t ↦ f t of $$C^4$$ C 4 nondegenerate unimodal maps. We study the absolutely continuous invariant probability...

Mathematics, general | Mathematics | ANALYTICITY | MATHEMATICS | LINEAR-RESPONSE | INVARIANT-MEASURES | DYNAMICAL-SYSTEMS | SUSCEPTIBILITY FUNCTION | DEFORMATIONS | STATISTICAL PROPERTIES | QUADRATIC FAMILY | STOCHASTIC STABILITY | DEPENDENCE | KeyWords Plus:LINEAR-RESPONSE; SUSCEPTIBILITY FUNCTION; STATISTICAL PROPERTIES; STOCHASTIC STABILITY; INVARIANT-MEASURES; DYNAMICAL-SYSTEMS; QUADRATIC FAMILY; DEFORMATIONS; ANALYTICITY; DEPENDENCE | Naturvetenskap | Natural Sciences | Matematik

Mathematics, general | Mathematics | ANALYTICITY | MATHEMATICS | LINEAR-RESPONSE | INVARIANT-MEASURES | DYNAMICAL-SYSTEMS | SUSCEPTIBILITY FUNCTION | DEFORMATIONS | STATISTICAL PROPERTIES | QUADRATIC FAMILY | STOCHASTIC STABILITY | DEPENDENCE | KeyWords Plus:LINEAR-RESPONSE; SUSCEPTIBILITY FUNCTION; STATISTICAL PROPERTIES; STOCHASTIC STABILITY; INVARIANT-MEASURES; DYNAMICAL-SYSTEMS; QUADRATIC FAMILY; DEFORMATIONS; ANALYTICITY; DEPENDENCE | Naturvetenskap | Natural Sciences | Matematik

Journal Article

The Journal of Physical Chemistry Letters, ISSN 1948-7185, 07/2018, Volume 9, Issue 13, pp. 3698 - 3702

We derive a theoretical expression of the second harmonic scattering signal in diluted electrolytes compared with bulk water. We show that the enhancement of...

INVARIANT EXPANSION | MATERIALS SCIENCE, MULTIDISCIPLINARY | ORNSTEIN-ZERNIKE EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | LIGHT-SCATTERING | CHEMISTRY, PHYSICAL | IONIC SOLUTION | NANOSCIENCE & NANOTECHNOLOGY | POLAR-SOLVENT | WATER | MOLECULES | LIQUIDS | or physical chemistry | Chemical Sciences | Theoretical and

INVARIANT EXPANSION | MATERIALS SCIENCE, MULTIDISCIPLINARY | ORNSTEIN-ZERNIKE EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | LIGHT-SCATTERING | CHEMISTRY, PHYSICAL | IONIC SOLUTION | NANOSCIENCE & NANOTECHNOLOGY | POLAR-SOLVENT | WATER | MOLECULES | LIQUIDS | or physical chemistry | Chemical Sciences | Theoretical and

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 12/2017, Volume 356, Issue 3, pp. 883 - 980

We prove that Gibbs measures of nonlinear Schrödinger equations arise as high-temperature limits of thermal states in many-body quantum mechanics. Our results...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | MEAN-FIELD | RIGOROUS DERIVATION | SCATTERING THEORY | STATISTICAL-MECHANICS | INVARIANT-MEASURES | DATA CAUCHY-THEORY | PHYSICS, MATHEMATICAL | GLOBAL WELL-POSEDNESS | CLASSICAL FIELD LIMIT | GROSS-PITAEVSKII EQUATION | UNIT BALL

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | MEAN-FIELD | RIGOROUS DERIVATION | SCATTERING THEORY | STATISTICAL-MECHANICS | INVARIANT-MEASURES | DATA CAUCHY-THEORY | PHYSICS, MATHEMATICAL | GLOBAL WELL-POSEDNESS | CLASSICAL FIELD LIMIT | GROSS-PITAEVSKII EQUATION | UNIT BALL

Journal Article

Advances in Mathematics, ISSN 0001-8708, 03/2014, Volume 253, pp. 50 - 62

The cone-volume measure of a polytope with centroid at the origin is proved to satisfy the subspace concentration condition. As a consequence a conjectured (a...

Polytope | Centroid | Subspace concentration condition | Log-Minkowski problem | Centro-affine inequalities | U-functional | Cone-volume measure | L-0-MINKOWSKI PROBLEM | SURFACE MEASURE | SPHERE | INEQUALITY | INVARIANT | MATHEMATICS | MINKOWSKI PROBLEM | L(P)(N)

Polytope | Centroid | Subspace concentration condition | Log-Minkowski problem | Centro-affine inequalities | U-functional | Cone-volume measure | L-0-MINKOWSKI PROBLEM | SURFACE MEASURE | SPHERE | INEQUALITY | INVARIANT | MATHEMATICS | MINKOWSKI PROBLEM | L(P)(N)

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2017, Volume 455, Issue 2, pp. 1234 - 1248

In this work we extend the concept of an invariant measure for a multivalued semigroup and, when it has a global attractor, we give different, but equivalent,...

Ergodic theorem | Time averages | Multivalued semigroups | Attractors | Invariant measures | Generalized semiflows | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | SEMIFLOWS | VALUED DYNAMICAL-SYSTEMS | STATISTICAL SOLUTIONS

Ergodic theorem | Time averages | Multivalued semigroups | Attractors | Invariant measures | Generalized semiflows | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | SEMIFLOWS | VALUED DYNAMICAL-SYSTEMS | STATISTICAL SOLUTIONS

Journal Article