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Transactions of the American Mathematical Society, ISSN 0002-9947, 07/2015, Volume 367, Issue 7, pp. 4661 - 4701
é condition. This more general class of spaces includes Euclidean spaces endowed with Lebesgue measure, complete noncompact Riemannian manifolds with bounded... 
MATHEMATICS | DIMENSION CONDITION | SOBOLEV SPACES | INEQUALITY | LIPSCHITZ FUNCTIONS | HEAT-FLOW | GEOMETRY | Differential Geometry | Metric Geometry | Mathematics
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 06/2015, Volume 268, Issue 12, pp. 3834 - 3866
With any convex function on a finite-dimensional linear space such that goes to +∞ at infinity, we associate a Borel measure on . The measure is obtained by... 
Moment measure | Prékopa theorem | Toric Kähler–Einstein metrics | Toric Kähler-Einstein metrics | MATHEMATICS | MAPS | CONVEXITY | Prekopa theorem | SANTALO INEQUALITY | Toric Kahler-Einstein metrics | MASS-TRANSPORT
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 2019
Entropy is a measure of self-information which is used to quantify information losses. Entropy was developed in thermodynamics, but is also used to compare... 
Rearrangement inequalities | Stochastic dominance | Dual representation | Risk measures
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2018, Volume 64, Issue 4, pp. 2193 - 2211
Journal Article
Review of Income and Wealth, ISSN 0034-6586, 09/2019, Volume 65, Issue 3, pp. 675 - 682
This note provides a characterization of α‐Gini inequality measures. These measures generalize the standard Gini index by including one sensitivity parameter... 
D63 | α‐Gini measures | D31 | C43 | weak decomposition | unit consistency | α-Gini measures | alpha-Gini measures | ECONOMICS | INCOME INEQUALITY | Income inequality | Left wing politics | Ranking | Economics and Finance | Humanities and Social Sciences
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 10/2015, Volume 92, Issue 4
The main concern of this paper is how to define proper measures of multipartite entanglement for mixed quantum states. Since the structure of partial... 
CAPACITY | INEQUALITIES | INFORMATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | PROBABILITY RELATIONS | CLASSIFICATION | OPTIMIZATION | QUANTUM STATES | OPTICS | ENTROPY
Journal Article
Information Sciences, ISSN 0020-0255, 2011, Volume 181, Issue 1, pp. 57 - 78
This survey seeks to describe methods for measuring the entropy of graphs and to demonstrate the wide applicability of entropy measures. Setting the scene with... 
Graph complexity | Graphs | Entropy | Structural complexity | Information inequalities | Information theory | Information measures | Graph entropy | PERFECT GRAPHS | COMPUTER SCIENCE, INFORMATION SYSTEMS | CENTRALITY | MOLECULES | STRUCTURAL INFORMATION-CONTENT | SOCIAL NETWORKS | COMPLEX NETWORKS | TOPOLOGICAL INDEXES | Concretes | Biology | Sociology
Journal Article
Journal Article
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 | VALUED VALUATIONS | INEQUALITIES | CONVEX-BODIES | PROJECTION BODIES | INTEGRAL GEOMETRY | MULTIPLICATIVE STRUCTURE | MANIFOLDS | INVARIANT VALUATIONS | HARD LEFSCHETZ THEOREM | L-P | 52A90 | 43A90 | 52A40
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 12/2019, Volume 362, p. 124521
This paper presents novel graph similarity measures which can be applied to simple directed and undirected networks. To define the graph similarity measures,... 
Networks | Graphs | Similarity measures | Distance measures | Inequalities | MATHEMATICS, APPLIED
Journal Article
Mathematics of Operations Research, ISSN 0364-765X, 8/2018, Volume 43, Issue 3, pp. 813 - 837
This paper studies curves of the form ( ρ ( λX )) λ ≥0 , called risk profiles, where ρ is a convex risk measure and X a random variable. Financially, this... 
transport inequalities | concentration of measure | convex risk measures | liquidity risk | Transport inequalities | Concentration of measure | Convex risk measures | Liquidity risk | TRANSPORTATION COST | MATHEMATICS, APPLIED | COHERENT MEASURES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | INEQUALITIES | DIVERGENCE | Liquidity (Finance)
Journal Article
2007, ISBN 0226044491, xiii, 606
The celebrated economist Zvi Griliches’s entire career can be viewed as an attempt to advance the cause of accuracy in economic measurement. His interest in... 
Econometrics | Income distribution | Griliches, Zvi | 1930-1999 | Congresses
Book
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 Differential Geometry, ISSN 0022-040X, 03/2015, Volume 99, Issue 3, pp. 407 - 442
Necessary and sufficient conditions are given in order for a Borel measure on the Euclidean sphere to have an affine image that is isotropic. A sharp reverse... 
VOLUME INEQUALITIES | L-0-MINKOWSKI PROBLEM | MATHEMATICS | ENTROPY INEQUALITIES | BRUNN-MINKOWSKI INEQUALITY | CONVEX-BODIES | LOG-CONCAVE MEASURES | P SOBOLEV INEQUALITIES | CENTROID BODIES | INTERSECTION BODIES | ISOPERIMETRIC-INEQUALITIES
Journal Article