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Can I read Monotonically Equivalent Entropies and Solution of Additivity Equation on EtoBox?
Monotonically Equivalent Entropies and Solution of Additivity Equation by Pavel Gorban is a Physics and Astronomy article available to read on EtoBox.
What is Monotonically Equivalent Entropies and Solution of Additivity Equation about?
Generalized entropies are studied as Lyapunov functions for the master equation (Markov chains). Three basic properties of these Lyapunov functions are taken into consideration: universality (independence of the kinetic coe cients), trace-form (the form of sum over the states), and additivity (for composition of independent subsystems). All the entropies, which have all three properties simultaneously and are deÿned for positive probabilities, are found. They form a one-parametric family. We consider also pairs of entropies S1; S2, which are connected by the monotonous transformation S2 = F(S1) (equivalent entropies). All classes of pairs of universal equivalent entropies, one of which has a trace-form, and another is additive (these entropies can be di erent one from another), were found. These classes consist of two one-parametric families: the family of entropies, which are equivalent to the additive trace-form entropies, and the family of Renyi-Tsallis entropies.
Who reads Monotonically Equivalent Entropies and Solution of Additivity Equation?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Pavel Gorban
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0378-4371)
- Published
- 2003
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)