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An overview of generalized entropic forms

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00350414" target="_blank" >RIV/68407700:21340/21:00350414 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1209/0295-5075/133/50005" target="_blank" >https://doi.org/10.1209/0295-5075/133/50005</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1209/0295-5075/133/50005" target="_blank" >10.1209/0295-5075/133/50005</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    An overview of generalized entropic forms

  • Original language description

    The aim of this focus article is to present a comprehensive classification of the main entropic forms introduced in the last fifty years in the framework of statistical physics and information theory. Most of them can be grouped into three families, characterized by two-deformation parameters, introduced respectively by Sharma, Taneja, and Mittal (entropies of degree $(alpha,,beta$ )), by Sharma and Mittal (entropies of order $(alpha,,beta)$ ), and by Hanel and Thurner (entropies of class $(c,,d)$ ). Many entropic forms examined will be characterized systematically by means of important concepts such as their axiomatic foundations à la Shannon-Khinchin and the consequent composability rule for statistically independent systems. Other critical aspects related to the Lesche stability of information measures and their consistency with the Shore-Johnson axioms will be briefly discussed on a general ground.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10300 - Physical sciences

Result continuities

  • Project

    <a href="/en/project/GA19-16066S" target="_blank" >GA19-16066S: Nonlinear interactions and information transfer in complex systems with extreme events</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Europhysics Letters

  • ISSN

    0295-5075

  • e-ISSN

    1286-4854

  • Volume of the periodical

    133

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    7

  • Pages from-to

  • UT code for WoS article

    000731467200005

  • EID of the result in the Scopus database

    2-s2.0-85105922974