The field of information science has greatly developed, and applications in various fields have emerged. In this paper, we evaluated the coding system in the theory of Tsallis entropy for transmission of messages and aimed to formulate the channel capacity by maximization of the Tsallis entropy within a given condition of code length. As a result, we obtained a simple relational expression betw...

This paper deals with a sharp smoothing e ect for entropy solutions of one-dimensional scalar conservation laws with a degenerate convex ux. We brie y explain why degenerate uxes are related with the optimal smoothing e ect conjectured by Lions, Perthame, Tadmor for entropy solutions of multidimensional conservation laws. It turns out that generalized spaces of bounded variation BVΦ are particu...

We show that a realization of the correspondence AdS2/CFT1 for near extremal Reissner-Nordström black holes in arbitrary dimensional Einstein-Maxwell gravity exactly reproduces, via Cardy’s formula, the deviation of the BekensteinHawking entropy from extremality. We also show that this mechanism is valid for Schwarzschild-de Sitter black holes around the degenerate solution dS2×S. These results...

Using a new regulator, we examine ’t Hooft’s approach for evaluating black hole entropy through a statistical-mechanical counting of states for a scalar field propagating outside the event horizon. We find that this calculation yields precisely the one-loop renormalization of the standard BekensteinHawking formula, S = A/(4G). Thus our result provides evidence confirming a suggestion by Susskin...

Experimental recordings of the collective activity of interacting spiking neurons exhibit 1 random behavior and memory effects, thus the stochastic process modeling the spiking activity 2 is expected to show some degree of time irreversibility. We use the thermodynamic formalism to 3 build a framework, in the context of spike train statistics, to quantify the degree of irreversibility 4 of any ...

Using AdS/CFT correspondence and the Euclidean action formalism for black hole entropy Kraus and Larsen have argued that the entropy of a BTZ black hole in three dimensional supergravity with (0,4) supersymmetry does not receive any correction from higher derivative terms in the action. We argue that as a consequence of AdS/CFT correspondence the action of a three dimensional supergravity with ...

Abstract. We consider copulas with a given diagonal section and compute the explicit density of the unique optimal copula which maximizes the entropy. In this sense, this copula is the least informative among the copulas with a given diagonal section. We give an explicit criterion on the diagonal section for the existence of the optimal copula and give a closed formula for its entropy. We also ...

We study the three dimensional Schwarzschild-de Sitter (SdS3) black hole which corresponds essentially to a conical defect. We compute the mass of the SdS3 black hole from the correct definition of the mass in asymptotically de Sitter space. Then we clarify the relation between the mass, entropy and temperature for this black hole without any ambiguity. Also we establish the SdS3/CFT2-correspon...

We study the one-particle von Neumann entropy of a system of N hard-core anyons on a ring. The entropy is found to have a clear dependence on the anyonic parameter which characterizes the generalized fractional statistics described by the anyons. This confirms that the entanglement is a valuable quantity for investigating topological properties of quantum states. We derive the generalization to...

The entropy production rate was determined for avascular tumor growth. The proposed formula relates the fractal dimension of the tumor contour with the quotient between mitosis and apoptosis rate, which can be used to characterize the degree of proliferation of tumor cells. The entropy production rate was determined for fourteen tumor cell lines as a physical function of cancer robustness. The ...