The Global Equity Market Reactions of the Oil & Gas Midstream and Marine Shipping Industries to COVID-19: An Entropy Analysis

This article quantifies the information flow between major equities in the Oil & Gas Midstream and Marine Shipping industries, on the basis of the effective transfer entropy methodology. In addition, the article provides the first analysis of the investors` fear and market expectations in these sectors, according to Rényi entropy approach. The period of study was extended over five years, to fully capture the pre/post-COVID situations. The entropy results reveal a major change in the underlying information flow pattern among equities in the Oil & Gas Midstream and Marine Shipping sectors, in the aftermath of COVID-19. According to the new (post-COVID) paradigm, the stocks in the Oil & Gas Midstream and Integrated Freight & Logistics industries have gained momentum in occupying six of the ten positions within the list of most-influencing equities in the market, in terms of information transmission. The disorder and randomness has decreased for over 89% of the studied equities, after virus outbreak. For the equities detected with high information-transmission standing, the Rényi entropy results indicate that investors more likely showed higher level of future expectations and lower level of fear regarding frequent market events, within the post-COVID timeline. Doi: 10.28991/HIJ-2021-02-04-07 Full Text: PDF

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Rényi entropy measure of noise-aided information transmission in a binary channel

Physical Review E ◽

10.1103/physreve.81.051112 ◽

2010 ◽

Vol 81 (5) ◽

Cited By ~ 4

Author(s):

François Chapeau-Blondeau ◽

David Rousseau ◽

Agnès Delahaies

Keyword(s):

Information Transmission ◽

Renyi Entropy ◽

Rényi Entropy ◽

Entropy Measure ◽

Binary Channel

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Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part I. Single-particle states

Journal of High Energy Physics ◽

10.1007/jhep12(2020)160 ◽

2020 ◽

Vol 2020 (12) ◽

Author(s):

Jiaju Zhang ◽

M.A. Rajabpour

Keyword(s):

Excited States ◽

Single Particle ◽

Renyi Entropy ◽

Rényi Entropy ◽

Large Momentum ◽

Particle State ◽

Two Dimensional ◽

Universal Form ◽

Conformal Field ◽

Harmonic Chain

Abstract We investigate the Rényi entropy of the excited states produced by the current and its derivatives in the two-dimensional free massless non-compact bosonic theory, which is a two-dimensional conformal field theory. We also study the subsystem Schatten distance between these states. The two-dimensional free massless non-compact bosonic theory is the continuum limit of the finite periodic gapless harmonic chains with the local interactions. We identify the excited states produced by current and its derivatives in the massless bosonic theory as the single-particle excited states in the gapless harmonic chain. We calculate analytically the second Rényi entropy and the second Schatten distance in the massless bosonic theory. We then use the wave functions of the excited states and calculate the second Rényi entropy and the second Schatten distance in the gapless limit of the harmonic chain, which match perfectly with the analytical results in the massless bosonic theory. We verify that in the large momentum limit the single-particle state Rényi entropy takes a universal form. We also show that in the limit of large momenta and large momentum difference the subsystem Schatten distance takes a universal form but it is replaced by a new corrected form when the momentum difference is small. Finally we also comment on the mutual Rényi entropy of two disjoint intervals in the excited states of the two-dimensional free non-compact bosonic theory.

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Testing homogeneity of the galaxy distribution in the SDSS using Renyi entropy

Journal of Cosmology and Astroparticle Physics ◽

10.1088/1475-7516/2021/07/019 ◽

2021 ◽

Vol 2021 (07) ◽

pp. 019

Author(s):

Biswajit Pandey ◽

Suman Sarkar

Keyword(s):

Renyi Entropy ◽

Rényi Entropy ◽

Galaxy Distribution ◽

The Galaxy ◽

Testing Homogeneity

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Conditional Rényi Entropy and the Relationships between Rényi Capacities

Entropy ◽

10.3390/e22050526 ◽

2020 ◽

Vol 22 (5) ◽

pp. 526

Author(s):

Gautam Aishwarya ◽

Mokshay Madiman

Keyword(s):

Mutual Information ◽

Renyi Entropy ◽

Rényi Entropy ◽

Basic Properties ◽

Reference Measure ◽

Definition Of ◽

Discrete Setting

The analogues of Arimoto’s definition of conditional Rényi entropy and Rényi mutual information are explored for abstract alphabets. These quantities, although dependent on the reference measure, have some useful properties similar to those known in the discrete setting. In addition to laying out some such basic properties and the relations to Rényi divergences, the relationships between the families of mutual informations defined by Sibson, Augustin-Csiszár, and Lapidoth-Pfister, as well as the corresponding capacities, are explored.

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