Non-extensive entropic distance based on diffusion

Restrictions on parameters in entropy formulae

T. Bíró, Zsolt Schram

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Based on a diffusion-like master equation we propose a formula using the Bregman divergence for measuring entropic distance in terms of different non-extensive entropy expressions. We obtain the non-extensivity parameter range for a universal approach to the stationary distribution by simple diffusive dynamics for the Tsallis and the Kaniadakis entropies, for the Hanel-Thurner generalization, and finally for a recently suggested log-log type entropy formula which belongs to diverging variance in the inverse temperature superstatistics.

Original languageEnglish
Article number42
JournalEntropy
Volume18
Issue number2
DOIs
Publication statusPublished - 2016

Fingerprint

constrictions
entropy
divergence
temperature

Keywords

  • Entropic distance
  • Generalized q-entropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Non-extensive entropic distance based on diffusion : Restrictions on parameters in entropy formulae. / Bíró, T.; Schram, Zsolt.

In: Entropy, Vol. 18, No. 2, 42, 2016.

Research output: Contribution to journalArticle

@article{ebe73695064742e7907270281b00b78b,
title = "Non-extensive entropic distance based on diffusion: Restrictions on parameters in entropy formulae",
abstract = "Based on a diffusion-like master equation we propose a formula using the Bregman divergence for measuring entropic distance in terms of different non-extensive entropy expressions. We obtain the non-extensivity parameter range for a universal approach to the stationary distribution by simple diffusive dynamics for the Tsallis and the Kaniadakis entropies, for the Hanel-Thurner generalization, and finally for a recently suggested log-log type entropy formula which belongs to diverging variance in the inverse temperature superstatistics.",
keywords = "Entropic distance, Generalized q-entropy",
author = "T. B{\'i}r{\'o} and Zsolt Schram",
year = "2016",
doi = "10.3390/e18020042",
language = "English",
volume = "18",
journal = "Entropy",
issn = "1099-4300",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "2",

}

TY - JOUR

T1 - Non-extensive entropic distance based on diffusion

T2 - Restrictions on parameters in entropy formulae

AU - Bíró, T.

AU - Schram, Zsolt

PY - 2016

Y1 - 2016

N2 - Based on a diffusion-like master equation we propose a formula using the Bregman divergence for measuring entropic distance in terms of different non-extensive entropy expressions. We obtain the non-extensivity parameter range for a universal approach to the stationary distribution by simple diffusive dynamics for the Tsallis and the Kaniadakis entropies, for the Hanel-Thurner generalization, and finally for a recently suggested log-log type entropy formula which belongs to diverging variance in the inverse temperature superstatistics.

AB - Based on a diffusion-like master equation we propose a formula using the Bregman divergence for measuring entropic distance in terms of different non-extensive entropy expressions. We obtain the non-extensivity parameter range for a universal approach to the stationary distribution by simple diffusive dynamics for the Tsallis and the Kaniadakis entropies, for the Hanel-Thurner generalization, and finally for a recently suggested log-log type entropy formula which belongs to diverging variance in the inverse temperature superstatistics.

KW - Entropic distance

KW - Generalized q-entropy

UR - http://www.scopus.com/inward/record.url?scp=84960368664&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84960368664&partnerID=8YFLogxK

U2 - 10.3390/e18020042

DO - 10.3390/e18020042

M3 - Article

VL - 18

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 2

M1 - 42

ER -