Statistical Complexity. Applications in Electronic Systems

J, Lopez Ruiz R Sanudo

doi:10.4172/jtco.1000122

Cited by 3 publications

(2 citation statements)

References 74 publications

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“…It will be different from zero if there are more likely states among the accessible ones. Opposite, if among the accessible states one totally prevails, then the "disequilibrium" will be maximum (see also [16]).…”

Section: 1mentioning

confidence: 99%

The Impact of COVID‐19 Crisis on Stock Markets’ Statistical Complexity

Dima

Ioan

2022

Complexity

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The spread of the COVID-19 pandemic has severely impacted all aspects of social and economic life, including the evolution of stock markets. Thus, we advance a methodological framework suitable for assessing 2020 year-long shifts in markets’ statistical complexity, and we apply such framework to ten major international developed or emerging stock markets. Our research reveals that this crisis had considerably altered markets’ evolutionary patterns. The network description of markets’ multivocal transmission of complex responses changed in 2020, European and Asian markets playing a pivotal role. Nevertheless, an important regional and time heterogeneity emerges. In addition, we find that the total number of worldwide confirmed COVID-19 cases plays a leading role in the changes in markets’ complexity.

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Section: 1mentioning

confidence: 99%

The Impact of COVID‐19 Crisis on Stock Markets’ Statistical Complexity

Dima

Ioan

2022

Complexity

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“…As discussed in [77], in recent years a variety of complexity measures have been defined and applied to the study of systems in physical, biological, mathematical, computer science and so forth. These quantities are obtained from density functionals and expectation values of probability densities [73, 78–82].…”

Section: Introductionmentioning

confidence: 99%

The confined helium atom: An information–theoretic approach

Estañón,

Montgomery,

Angulo

et al. 2024

Int J of Quantum Chemistry

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In this article, we study the helium atom confined in a spherical impenetrable cavity by using informational measures. We use the Ritz variational method to obtain the energies and wave functions of the confined helium atom as a function of the cavity radius . As trial wave functions we use one uncorrelated function and five explicitly correlated basis sets in Hylleraas coordinates with different degrees of electronic correlation. We computed the Shannon entropy, Fisher information, Kullback–Leibler entropy, Tsallis entropy, disequilibrium and Fisher–Shannon complexity, as a function of . We found that these entropic measures are sensitive to electronic correlation and can be used to measure it. As expected these entropic measures are less sensitive to electron correlation in the strong confinement regime ( a.u.).

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Phase-space Rényi entropy, complexity and thermodynamic picture of density functional theory

Nagy

2022

J Math Chem

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Phase-space Rényi entropy and complexity are defined within the thermodynamic picture of density functional theory. The structural entropy defined by Pipek, Varga and Nagy, the LMC statistical complexity introduced by López-Ruiz, Mancini and Calbet and generalized complexity proposed by López-Ruiz, Nagy, Romera and Sanudo are extended to the phase space. It is shown that in case of constant local temperature the logarithm of the phase-space LMC complexity reduces to the position-space structural entropy defined by Pipek et al.

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Statistical Complexity. Applications in Electronic Systems

Cited by 3 publications

References 74 publications

The Impact of COVID‐19 Crisis on Stock Markets’ Statistical Complexity

The Impact of COVID‐19 Crisis on Stock Markets’ Statistical Complexity

The confined helium atom: An information–theoretic approach

Phase-space Rényi entropy, complexity and thermodynamic picture of density functional theory

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