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