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  1. Article ; Online: Nonextensive Statistical Mechanics: Equivalence Between Dual Entropy and Dual Probabilities.

    Livadiotis, George

    Entropy (Basel, Switzerland)

    2020  Volume 22, Issue 6

    Abstract: The concept of duality of probability distributions constitutes a fundamental "brick" in the solid framework of nonextensive statistical mechanics-the generalization of Boltzmann-Gibbs statistical mechanics under the consideration of ... ...

    Abstract The concept of duality of probability distributions constitutes a fundamental "brick" in the solid framework of nonextensive statistical mechanics-the generalization of Boltzmann-Gibbs statistical mechanics under the consideration of the
    Language English
    Publishing date 2020-05-26
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2014734-X
    ISSN 1099-4300 ; 1099-4300
    ISSN (online) 1099-4300
    ISSN 1099-4300
    DOI 10.3390/e22060594
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article ; Online: Statistical analysis of the impact of environmental temperature on the exponential growth rate of cases infected by COVID-19.

    Livadiotis, George

    PloS one

    2020  Volume 15, Issue 5, Page(s) e0233875

    Abstract: We perform a statistical analysis for understanding the effect of the environmental temperature on the exponential growth rate of the cases infected by COVID-19 for US and Italian regions. In particular, we analyze the datasets of regional infected cases, ...

    Abstract We perform a statistical analysis for understanding the effect of the environmental temperature on the exponential growth rate of the cases infected by COVID-19 for US and Italian regions. In particular, we analyze the datasets of regional infected cases, derive the growth rates for regions characterized by a readable exponential growth phase in their evolution spread curve and plot them against the environmental temperatures averaged within the same regions, derive the relationship between temperature and growth rate, and evaluate its statistical confidence. The results clearly support the first reported statistically significant relationship of negative correlation between the average environmental temperature and exponential growth rates of the infected cases. The critical temperature, which eliminates the exponential growth, and thus the COVID-19 spread in US regions, is estimated to be TC = 86.1 ± 4.3 F0.
    MeSH term(s) Betacoronavirus/physiology ; COVID-19 ; Coronavirus Infections/epidemiology ; Coronavirus Infections/transmission ; Epidemiologic Measurements ; Humans ; Italy/epidemiology ; Models, Biological ; Pandemics ; Pneumonia, Viral/epidemiology ; Pneumonia, Viral/transmission ; SARS-CoV-2 ; Temperature ; United States/epidemiology
    Keywords covid19
    Language English
    Publishing date 2020-05-29
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2267670-3
    ISSN 1932-6203 ; 1932-6203
    ISSN (online) 1932-6203
    ISSN 1932-6203
    DOI 10.1371/journal.pone.0233875
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article ; Online: Impact of environmental temperature on Covid-19 spread: Model and analysis of measurements recorded during the second pandemic in Cyprus

    Livadiotis, George

    medRxiv

    Abstract: The paper investigates the effect of the environmental temperature on the spread of COVID-19. We study the daily numbers of the cases infected and deaths caused by Covid-19 during the second wave of the pandemic within 2020, and how they were affected by ...

    Abstract The paper investigates the effect of the environmental temperature on the spread of COVID-19. We study the daily numbers of the cases infected and deaths caused by Covid-19 during the second wave of the pandemic within 2020, and how they were affected by the daily average-high temperature for the districts of the Republic of Cyprus. Among the findings of the paper, we show that (i) the average ratio of the PCR to rapid positive tests is ~2.57 ± 0.25, as expected from the tests9 responses, indicating that PCR overestimates positivity by ~2.5 times; (ii) the average age of deaths caused by Covid-19 increases with rate about a year of age per week; (iii) the probability of a person infected by Covid-19 to develop severe symptoms leading to death is strongly depended on the person9s age, while the probability of having a death on the age of ~67 or younger is less than 1/1000; (iv) the number of infected cases and deaths declined dramatically when the environmental temperature reaches and/or climbs above the critical temperature of TC=30.1 ± 2.4 C<sup>0</sup>; (v) the observed negative correlation between the exponential growth rate of the infected cases and the environmental temperature can be described within the framework of chemical kinetics, with at least two competing reactions, the connection of the coronavirus towards the receptor and the dissolution of the coronavirus; the estimated activation energy difference corresponding to the competing chemical reactions, 0.212 ± 0.25 eV, matches the known experimental value; and (vi) the infected cases will decline to zero, when the environmental temperature climbs above the critical temperature within the summery days of 2021, which is expected for the Republic of Cyprus by the 16th of May, 2021.
    Keywords covid19
    Language English
    Publishing date 2021-02-23
    Publisher Cold Spring Harbor Laboratory Press
    Document type Article ; Online
    DOI 10.1101/2021.02.19.21252106
    Database COVID19

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  4. Article ; Online: Statistical analysis of the impact of environmental temperature on the exponential growth rate of cases infected by COVID-19.

    George Livadiotis

    PLoS ONE, Vol 15, Iss 5, p e

    2020  Volume 0233875

    Abstract: We perform a statistical analysis for understanding the effect of the environmental temperature on the exponential growth rate of the cases infected by COVID-19 for US and Italian regions. In particular, we analyze the datasets of regional infected cases, ...

    Abstract We perform a statistical analysis for understanding the effect of the environmental temperature on the exponential growth rate of the cases infected by COVID-19 for US and Italian regions. In particular, we analyze the datasets of regional infected cases, derive the growth rates for regions characterized by a readable exponential growth phase in their evolution spread curve and plot them against the environmental temperatures averaged within the same regions, derive the relationship between temperature and growth rate, and evaluate its statistical confidence. The results clearly support the first reported statistically significant relationship of negative correlation between the average environmental temperature and exponential growth rates of the infected cases. The critical temperature, which eliminates the exponential growth, and thus the COVID-19 spread in US regions, is estimated to be TC = 86.1 ± 4.3 F0.
    Keywords Medicine ; R ; Science ; Q ; covid19
    Subject code 339
    Language English
    Publishing date 2020-01-01T00:00:00Z
    Publisher Public Library of Science (PLoS)
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  5. Article ; Online: Nonextensive Statistical Mechanics

    George Livadiotis

    Entropy, Vol 22, Iss 594, p

    Equivalence between Dual Entropy and Dual Probabilities

    2020  Volume 594

    Abstract: The concept of duality of probability distributions constitutes a fundamental “brick” in the solid framework of nonextensive statistical mechanics—the generalization of Boltzmann–Gibbs statistical mechanics under the consideration of the q -entropy. The ... ...

    Abstract The concept of duality of probability distributions constitutes a fundamental “brick” in the solid framework of nonextensive statistical mechanics—the generalization of Boltzmann–Gibbs statistical mechanics under the consideration of the q -entropy. The probability duality is solving old-standing issues of the theory, e.g., it ascertains the additivity for the internal energy given the additivity in the energy of microstates. However, it is a rather complex part of the theory, and certainly, it cannot be trivially explained along the Gibb’s path of entropy maximization. Recently, it was shown that an alternative picture exists, considering a dual entropy, instead of a dual probability. In particular, the framework of nonextensive statistical mechanics can be equivalently developed using q - and 1/ q - entropies. The canonical probability distribution coincides again with the known q -exponential distribution, but without the necessity of the duality of ordinary-escort probabilities. Furthermore, it is shown that the dual entropies, q -entropy and 1/ q -entropy, as well as, the 1-entropy, are involved in an identity, useful in theoretical development and applications.
    Keywords nonextensive statistical mechanics ; kappa distributions ; q-entropy ; escort probability ; Science ; Q ; Astrophysics ; QB460-466 ; Physics ; QC1-999
    Subject code 190
    Language English
    Publishing date 2020-05-01T00:00:00Z
    Publisher MDPI AG
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  6. Article ; Online: High Density Nodes in the Chaotic Region of 1D Discrete Maps.

    Livadiotis, George

    Entropy (Basel, Switzerland)

    2018  Volume 20, Issue 1

    Abstract: We report on the definition and characteristics of nodes in the chaotic region of bifurcation diagrams in the case of 1D mono-parametrical and S-unimodal maps, using as guiding example the logistic map. We examine the arrangement of critical curves, the ... ...

    Abstract We report on the definition and characteristics of nodes in the chaotic region of bifurcation diagrams in the case of 1D mono-parametrical and S-unimodal maps, using as guiding example the logistic map. We examine the arrangement of critical curves, the identification and arrangement of nodes, and the connection between the periodic windows and nodes in the chaotic zone. We finally present several characteristic features of nodes, which involve their convergence and entropy.
    Language English
    Publishing date 2018-01-04
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2014734-X
    ISSN 1099-4300 ; 1099-4300
    ISSN (online) 1099-4300
    ISSN 1099-4300
    DOI 10.3390/e20010024
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  7. Article ; Online: Long-Term Independence of Solar Wind Polytropic Index on Plasma Flow Speed.

    Livadiotis, George

    Entropy (Basel, Switzerland)

    2018  Volume 20, Issue 10

    Abstract: The paper derives the polytropic indices over the last two solar cycles (years 1995-2017) for the solar wind proton plasma near Earth (~1 AU). We use ~92-s datasets of proton plasma moments (speed, density, and temperature), measured from the Solar Wind ... ...

    Abstract The paper derives the polytropic indices over the last two solar cycles (years 1995-2017) for the solar wind proton plasma near Earth (~1 AU). We use ~92-s datasets of proton plasma moments (speed, density, and temperature), measured from the Solar Wind Experiment instrument onboard Wind spacecraft, to estimate the moving averages of the polytropic index, as well as their weighted means and standard errors as a function of the solar wind speed and the year of measurements. The derived long-term behavior of the polytropic index agrees with the results of other previous methods. In particular, we find that the polytropic index remains quasi-constant with respect to the plasma flow speed, in agreement with earlier analyses of solar wind plasma. It is shown that most of the fluctuations of the polytropic index appear in the fast solar wind. The polytropic index remains quasi-constant, despite the frequent entropic variations. Therefore, on an annual basis, the polytropic index of the solar wind proton plasma near ~1 AU can be considered independent of the plasma flow speed. The estimated all-year weighted mean and its standard error is
    Language English
    Publishing date 2018-10-17
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2014734-X
    ISSN 1099-4300 ; 1099-4300
    ISSN (online) 1099-4300
    ISSN 1099-4300
    DOI 10.3390/e20100799
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  8. Article ; Online: Statistical analysis of the impact of environmental temperature on the exponential growth rate of cases infected by COVID-19

    Livadiotis, George

    PLOS ONE

    2020  Volume 15, Issue 5, Page(s) e0233875

    Keywords General Biochemistry, Genetics and Molecular Biology ; General Agricultural and Biological Sciences ; General Medicine ; covid19
    Language English
    Publisher Public Library of Science (PLoS)
    Publishing country us
    Document type Article ; Online
    ISSN 1932-6203
    DOI 10.1371/journal.pone.0233875
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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    This service is chargeable due to the Delivery terms set by subito. Orders including an article and supplementary material will be classified as separate orders. In these cases, fees will be demanded for each order.

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  9. Article ; Online: Statistical analysis of the impact of environmental temperature on the exponential growth rate of cases infected by COVID-19

    Livadiotis, George

    medRxiv

    Abstract: We perform a statistical analysis for understanding the effect of the environmental temperature on the exponential growth rate of the cases infected by COVID-19 for US and Italian regions. In particular, we analyze the datasets of regional infected cases, ...

    Abstract We perform a statistical analysis for understanding the effect of the environmental temperature on the exponential growth rate of the cases infected by COVID-19 for US and Italian regions. In particular, we analyze the datasets of regional infected cases, derive the growth rates for regions characterized by readable exponential growth phase in their evolution spread curve and plot them against the environmental temperatures averaged within the same regions, derive the relationship between temperature and growth rate, and evaluate its statistical confidence. The results clearly support the first reported statistically significant relationship of negative correlation between the average environmental temperature and exponential growth rates of the infected cases. The critical temperature, which eliminates the exponential growth, and thus the COVID-19 spread in US regions, is estimated to be T<sub>c</sub> = 86.1 ± 4.3 F.
    Keywords covid19
    Language English
    Publishing date 2020-04-24
    Publisher Cold Spring Harbor Laboratory Press
    Document type Article ; Online
    DOI 10.1101/2020.04.21.20072405
    Database COVID19

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  10. Article ; Online: Statistical analysis of the impact of environmental temperature on the exponential growth rate of cases infected by COVID-19

    Livadiotis, George

    Abstract: We perform a statistical analysis for understanding the effect of the environmental temperature on the exponential growth rate of the cases infected by COVID-19 for US and Italian regions. In particular, we analyze the datasets of regional infected cases, ...

    Abstract We perform a statistical analysis for understanding the effect of the environmental temperature on the exponential growth rate of the cases infected by COVID-19 for US and Italian regions. In particular, we analyze the datasets of regional infected cases, derive the growth rates for regions characterized by readable exponential growth phase in their evolution spread curve and plot them against the environmental temperatures averaged within the same regions, derive the relationship between temperature and growth rate, and evaluate its statistical confidence. The results clearly support the first reported statistically significant relationship of negative correlation between the average environmental temperature and exponential growth rates of the infected cases. The critical temperature, which eliminates the exponential growth, and thus the COVID-19 spread in US regions, is estimated to be Tc = 86.1 ± 4.3 F.
    Keywords covid19
    Publisher MedRxiv; WHO
    Document type Article ; Online
    DOI 10.1101/2020.04.21.20072405
    Database COVID19

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