An overview of generalized entropic forms

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

An overview of generalized entropic forms

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

An overview of generalized entropic forms

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA19-16066S" target="_blank" >GA19-16066S: Nelineární interakce a přenos informace v komplexních systémech s extrémními událostmi</a><br>

Návaznosti

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

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Europhysics Letters

ISSN

0295-5075

e-ISSN

1286-4854

Svazek periodika

133

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

FR - Francouzská republika

Počet stran výsledku

7

Strana od-do

—

Kód UT WoS článku

000731467200005

EID výsledku v databázi Scopus

2-s2.0-85105922974