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  • V tomto článku zobecňujeme výsledek z [Physica A340 (2004)110] týkající se q-neextesivních statistik. Kombinací Rényho axiomatiky s q-deformovanou verzí Khinchinových axiomů získáme entropii která je vhodná k popisu systémů se self-similaritou and q-neextensivitou. Odpovídající maximizery jsou explicitně nalezeny a jejich %22vysoko%22 a %22nízko-teplotní%22 rozvoje jsou diskutovány. (cs)
  • In this paper we extend our recent results [Physica A340 (2004)110] on q-nonextensive statistics with non-Tsallis entropies. In particular, we combine an axiomatics of Renyi with the q-deformed version of Khinchin axioms to obtain the entropy which accounts both for systems with embedded self-similarity and q-nonextensivity. We find that this entropy can be uniquely solved in terms of a one-parameter family of information measures. The corresponding entropy maximizer is expressible via a special function known under the name of the Lambert W-function. We analyze the corresponding %22high%22 and %22low-temperature%22 asymptotics and make some remarks on the possible applications.
  • In this paper we extend our recent results [Physica A340 (2004)110] on q-nonextensive statistics with non-Tsallis entropies. In particular, we combine an axiomatics of Renyi with the q-deformed version of Khinchin axioms to obtain the entropy which accounts both for systems with embedded self-similarity and q-nonextensivity. We find that this entropy can be uniquely solved in terms of a one-parameter family of information measures. The corresponding entropy maximizer is expressible via a special function known under the name of the Lambert W-function. We analyze the corresponding %22high%22 and %22low-temperature%22 asymptotics and make some remarks on the possible applications. (en)
Title
  • Towards information theory for q-nonextensive statistics without q-deformed distributions
  • Towards information theory for q-nonextensive statistics without q-deformed distributions (en)
  • Informační teorie pro q-neextensivní statistiku bez q-deformovaných distribucí (cs)
skos:prefLabel
  • Towards information theory for q-nonextensive statistics without q-deformed distributions
  • Towards information theory for q-nonextensive statistics without q-deformed distributions (en)
  • Informační teorie pro q-neextensivní statistiku bez q-deformovaných distribucí (cs)
skos:notation
  • RIV/68407700:21340/06:04124972!RIV09-MSM-21340___
http://linked.open...avai/riv/aktivita
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  • S
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 504054
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/06:04124972
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http://linked.open.../riv/klicovaSlova
  • Renyho informacni mira, Tsallisova entropie (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [E8E17400DB15]
http://linked.open...i/riv/nazevZdroje
  • Physica A: Statistical Mechanics and Its Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 365
http://linked.open...iv/tvurceVysledku
  • Jizba, Petr
  • Arimitsu, T.
http://linked.open...ain/vavai/riv/wos
  • 000237360300013
issn
  • 0378-4371
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http://localhost/t...ganizacniJednotka
  • 21340
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