On the Tsallis Entropy for Gibbs Random Fields

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00441885" target="_blank" >RIV/67985556:_____/14:00441885 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On the Tsallis Entropy for Gibbs Random Fields

Original language description

The Tsallis entropy, as a generalization of the standard Shannon-type entropy, was introduced by Constantino Tsallis (1988). Since that the concept has been extensively studied (see, e.g., Tsallis (2009)). In the present paper we address the problem of generalizing the concept for innite- dimensional systems, i.e., the random processes and elds. Apparently, rather well suited models are the Gibbs distributions (cf. e.g., Georgii (1988)). We construct the appropriate Tsallis entropy rate either asymptotically by limit over a sequence of expanding volumes or by analogy with the exponential nite-dimensional distributions. Basic properties, taking into account the possible phase transitions, are also introduced.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BB - Applied statistics, operational research

OECD FORD branch

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Project

<a href="/en/project/GBP402%2F12%2FG097" target="_blank" >GBP402/12/G097: DYME-Dynamic Models in Economics</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2014

Confidentiality

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

Name of the periodical

Bulletin of the Czech Econometric Society

ISSN

1212-074X

e-ISSN

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Volume of the periodical

21

Issue of the periodical within the volume

33

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

11

Pages from-to

59-69

UT code for WoS article

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EID of the result in the Scopus database

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