scholarly journals The entropic measure transform

2020 ◽  
Vol 48 (1) ◽  
pp. 97-129
Author(s):  
Renjie Wang ◽  
Cody Hyndman ◽  
Anastasis Kratsios
Keyword(s):  
Entropic Measure

scholarly journals Entropic measure unveils country competitiveness and product specialization in the World trade web

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Gianluca Teza ◽  
Michele Caraglio ◽  
Attilio L. Stella
Keyword(s):  
Iterative Scheme ◽  
Entropy Function ◽  
Bipartite Networks ◽  
Complexity Measures ◽  
Wide Range ◽  
Self Consistent ◽  
Set Up ◽  
Technical Features ◽  
Country Competitiveness ◽  
Entropic Measure

AbstractWe show how the Shannon entropy function can be used as a basis to set up complexity measures weighting the economic efficiency of countries and the specialization of products beyond bare diversification. This entropy function guarantees the existence of a fixed point which is rapidly reached by an iterative scheme converging to our self-consistent measures. Our approach naturally allows to decompose into inter-sectorial and intra-sectorial contributions the country competitivity measure if products are partitioned into larger categories. Besides outlining the technical features and advantages of the method, we describe a wide range of results arising from the analysis of the obtained rankings and we benchmark these observations against those established with other economical parameters. These comparisons allow to partition countries and products into various main typologies, with well-revealed characterizing features. Our methods have wide applicability to general problems of ranking in bipartite networks.

QUANTUM ENTROPY AND INFORMATION IN DISCRETE ENTANGLED STATES

2001 ◽  
Vol 04 (02) ◽  
pp. 137-160 ◽  
Author(s):  
VIACHESLAV P. BELAVKIN ◽  
MASANORI OHYA
Keyword(s):  
Conditional Entropy ◽  
Von Neumann Entropy ◽  
Entangled States ◽  
Commutative Case ◽  
Maximal Abelian Subalgebra ◽  
Von Neumann ◽  
Abelian Subalgebra ◽  
Different Types ◽  
Classical Quantum ◽  
Entropic Measure

Quantum entanglements, describing truly quantum couplings, are studied and classified for discrete compound states. We show that classical-quantum correspondences such as quantum encodings can be treated as d-entanglements leading to a special class of separable compound states. The mutual information for the d-compound and for q-compound (entangled) states leads to two different types of entropies for a given quantum state. The first one is the von Neumann entropy, which is achieved as the supremum of the information over all d-entanglements, and the second one is the dimensional entropy, which is achieved at the standard entanglement, the true quantum entanglement, coinciding with a d-entanglement only in the commutative case. The q-conditional entropy and q-capacity of a quantum noiseless channel, defined as the supremum over all entanglements, is given as the logarithm of the dimensionality of the input von Neumann algebra. It can double the classical capacity, achieved as the supremum over all semiquantum couplings (d-entanglements, or encodings), which is bounded by the logarithm of the dimensionality of a maximal Abelian subalgebra. The entropic measure for essential entanglement is introduced.

scholarly journals Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure

2016 ◽  
Vol 755 ◽  
pp. 358-362 ◽  
Author(s):  
R.A.C. Correa ◽  
D.M. Dantas ◽  
C.A.S. Almeida ◽  
Roldão da Rocha
Keyword(s):  
Entropic Measure

scholarly journals From an Entropic Measure of Time to Laws of Motion

2018 ◽  
Author(s):  
Leonid Martyushev ◽  
Evgenii Shaiapin
Keyword(s):  
Simple Model ◽  
Physical Theory ◽  
System Size ◽  
Relativity Principle ◽  
Basic Concepts ◽  
Laws Of Motion ◽  
Interesting Corollary ◽  
Entropic Measure ◽  
Number Of Particles

An idea expressed in the paper [Entropy 2017, 19, 345] about the deductive formulation of a physical theory resting on explicitly- and universally-introduced basic concepts is developed. An entropic measure of time with a number of properties leading to an analog of the Galilei–Einstein relativity principle is considered. Using the introduced measure and a simple model, a kinematic law relating the size, time, and number of particles of a system is obtained. Corollaries of this law are examined. In particular, accelerated increase of the system size and, if the system size remains unchanged, decrease of the number of particles are found. An interesting corollary is the emergence of repulsive and attractive forces inversely proportional to the square of the system size for relatively dense systems and constant for sufficiently rarefied systems.

scholarly journals AN ENTROPIC MEASURE OF REGIONALIZATION POTENTIAL

1976 ◽  
Vol 49 (7) ◽  
pp. 488-496
Author(s):  
Michihiro MIYAGI
Keyword(s):  
Entropic Measure

scholarly journals The Relationship between the US Economy’s Information Processing and Absorption Ratios: Systematic vs Systemic Risk

Entropy ◽  
2018 ◽  
Vol 20 (9) ◽  
pp. 662 ◽  
Author(s):  
Edgar Parker
Keyword(s):  
Information Processing ◽  
Financial Markets ◽  
Systemic Risk ◽  
Systematic Risk ◽  
Alternative Measure ◽  
Economic Downturns ◽  
The Us ◽  
Potential Methods ◽  
The Relationship ◽  
Entropic Measure

After the 2008 financial collapse, the now popular measure of implied systemic risk called the absorption ratio was introduced. This statistic measures how closely the economy’s markets are coupled. The more closely financial markets are coupled the more susceptible they are to systemic collapse. A new alternative measure of financial market health, the implied information processing ratio or entropic efficiency of the economy, was derived using concepts from information theory. This new entropic measure can also be useful in predicting economic downturns and measuring systematic risk. In the current work, the relationship between these two ratios and types of risks are explored. Potential methods of the joint use of these different measures to optimally reduce systemic and systematic risk are introduced.

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