32 citations · 90 across the 4 of their papers we have counts for
Showing cond-mat.stat-mechShow all
2 papers · 1 filter
cond-mat.stat-mech2003★ 29 cited
Generalized statistics: yet another generalization
Petr Jizba, Toshihico Arimitsu
We provide a unifying axiomatics for Renyi's entropy and non-extensive entropy of Tsallis. It is shown that the resulting entropy coincides with Csiszar's measure of directed diver…
cond-mat.stat-mech2002★ 13 cited
The world according to Renyi: Thermodynamics of multifractal systems
Petr Jizba, Toshihico Arimitsu
We discuss basic statistical properties of systems with multifractal structure. This is possible by extending the notion of the usual Gibbs--Shannon entropy into more general frame…