Results 111 to 120 of about 290,851 (151)
THE FRACTIONAL TSALLIS ENTROPY
International Journal of Applied MathematicsA three-parameter generalization of the Tsallis entropy based on the properties of the power functions and Weyl fractional calculus like extension of quantum calculus, are introduced. The generalization of the Shannon-Khinchin axioms corresponding to the fractional Tsallis entropy is verified and proposed.
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Non-Parametric Goodness-of-Fit Tests Using Tsallis Entropy Measures
We develop goodness-of-fit (GOF) procedures rooted in Tsallis entropy, with a particular emphasis on multivariate exponential-power (generalized Gaussian) and q-Gaussian models. The GOF statistic compares a closed-form Tsallis entropy under the null with
Mehmet Siddik Cadirci +2 more
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Concavity of Tsallis Entropy and Tsallis Entropy Power along Heat Flow
We study the evolution of Tsallis entropy along the heat flow and establish concavity results in arbitrary dimensions. Extending earlier one-dimensional results, we prove that Tsallis entropy is concave along the heat flow for $q\in(0,3]$ in dimension one and for $q\in[1,3]$ in higher dimensions.
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Long-range interactions, doubling measures and Tsallis entropy
, 2014 We present a path toward determining the statistical origin of the thermodynamic limit for systems with long-range interactions. We assume throughout that the systems under consideration have thermodynamic properties given by the Tsallis entropy. We rely
Nikos Kalogeropoulos
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Generalized Shannon inequalities based on Tsallis relative operator entropy
Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by Furuta [Linear Algebra Appl.
Furuichi, Shigeru +2 more
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On some properties of Tsallis entropy on majorization lattice
, 2015 In this communication, order preserving property of Tsallis measure of entropy is proved. Further, subdditivity and submodularity of Tsallis measure of entropy on a majorization are established.
Bhatia, P.K. +2 more
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A note on operator inequalities of Tsallis relative operator entropy
Tsallis relative operator entropy was defined as a parametric extension of relative operator entropy and the generalized Shannon inequalities were shown in the previous paper.
Furuichi, Shigeru +2 more
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Coherence as entropy increment for Tsallis and Renyi entropies [PDF]
Relative entropy of coherence can be written as an entropy difference of the original state and the incoherent state closest to it when measured by relative entropy.
Vershynina, Anna
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負パラメータを持つ Tsallis relative operator entropy
The Tsallis relative entropy with negative parameters is the spacial case of the quasi-entropy due to Hiai and Petz. In this paper, we define the Tsallis relative operator entropy with negative parameters of positive operators on a Hilbert space and show
瀬尾, 祐貴 +5 more
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Non-extensive diffusion entropy analysis and teen birth phenomena
, 2004 A complex process is often a balance between nonscaling and scaling components. We show how the nonextensive Tsallis q-entropy indicator may be interpreted as a measure of the nonscaling condition in time series.
Grigolini P. +3 more
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