Generalized information functions
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The concept of information functions of type β (β > 0) is introduced and by means of these information functions the entropies of typeβ are defined, which have a number of interesting algebraic and analytic properties similar to Shannon's entropy.Abstract:
The concept of information functions of type β ( β > 0) is introduced and discussed. By means of these information functions the entropies of type β are defined. These entropies have a number of interesting algebraic and analytic properties similar to Shannon's entropy. The capacity of type β ( β > 1) of a discrete constant channel is defined by means of the entropy of type β . Examples are given for the computation of the capacity of type β , from which the Shannon's capacity can be derived as the limiting case β = 1.read more
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Long-range interactions, doubling measures and Tsallis entropy
TL;DR: In this paper, the authors present a path toward determining the statistical origin of the thermodynamic limit for systems with long-range interactions, assuming that the systems under consideration have thermodynamic properties given by the Tsallis entropy.
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Geometric Representation of the Entropy Group in Nonextensive Statistical Mechanics
TL;DR: A geometric representation of the entropy group has been derived for the general law of composition of parametric entropies with quadratic nonlinearity in nonextensive statistical mechanics as mentioned in this paper.
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R\'enyi and Tsallis formulations of noise-disturbance trade-off relations
TL;DR: In this article, an information-theoretic approach to noise and disturbance in quantum measurements is presented, which is characterized by means of both the Renyi and Tsallis entropies.
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A new representation for the nonlinear classical oscillator
TL;DR: In this article, the q-exponential function defined by Tsallis is used to make a new representation of the classical nonlinear oscillator in which the solution of the correspondent differential equation is mapped in another nonlinear differential equation with the coordinate x(t) deformed in a new coordinate x (t) and the solution is given in the form of a sum of two complex qexponential functions.
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Uniqueness of Nonextensive entropy under Renyi's Recipe
TL;DR: It is shown that nonextensive entropy is unique under the R\'{e}nyi's recipe, and there by give a characterization.
References
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Book
Transmission of information
Robert M. Fano,W. T. Wintringham +1 more
TL;DR: A warning device associated with arotatable body comprising means on the rotatable body for creating a magnetic field, a receiving coil on a relatively stationary member arranged such that a warning is given upon occurrence of a predetermined condition, such as pressure of a vehicle wheel deviating outside a predetermined limit.