Boltzmann-Gibbs entropy: Axiomatic characterization and application.
Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Shannon entropy: axiomatic characterization and application.”
Boltzmann-Gibbs entropy: Axiomatic characterization and application.
On the modified entropy equation.
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A new approach to mutual information
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A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided for the mutual information of both continuous and discrete random variables.
On Two Conditional Entropies without Probability.
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Renormalized entropy solutions of scalar conservation laws
Philippe Bénilan, Jose Carrillo, Petra Wittbold (2000)
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Inder Jeet Taneja (1977)
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Maličky-Riečan's entropy as a version of operator entropy
Bartosz Frej (2006)
Fundamenta Mathematicae
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The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.
A generalization of entropy equation: homogeneous entropies
Bhu Dev Sharma, R. P. Singh (1985)
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Quantum dynamical entropy revisited
Thomas Hudetz (1998)
Banach Center Publications
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We define a new quantum dynamical entropy for a C*-algebra automorphism with an invariant state (and for an appropriate 'approximating' subalgebra), which entropy is a 'hybrid' of the two alternative definitions by Connes, Narnhofer and Thirring resp. by Alicki and Fannes (and earlier, Lindblad). We report on this entropy's properties and on three examples.