We study the non-extensive Tsallis statistics and its applications to QCD high energy physics, analyze possible connections of this with a fractal structure hadrons. Then, we describe how scaling properties Yang-Mills theories allow appearance self-similar structures in gauge fields, which actually behave as fractals. The entropic index, q, is deduced terms field theory parameters, resulting go...

The proposed model is a study of the nature dark energy through non-extensive Tsallis entropy. method based on Karolyhazy relation which combined idea from quantum physics and general relativity. Dark density fluctuations in space-time. This key behind proposing agegraphic (ADE) models here. parameter $\delta$ used to measure quantitative distinction standard scenario. To look at cosmological i...

In this paper, we provide an account of analytical results related to the Tsallis thermodynamics that have been subject matter a lot studies in field high-energy collisions. After reviewing for classical case massless limit and arbitrarily massive particles, compute quantum thermodynamic variables. For first time, formula pressure Tsallis-like gas bosons has obtained. The study serves both as b...

In this paper we study the possible microscopic origin of heavy-tailed probability density distributions for the price variation of financial instruments. We extend the standard log-normal process to include another random component in the so-called stochastic volatility models. We study an approximation, akin to the Born-Oppenheimer approximation, in which the volatility has already relaxed to...

Entropy is well known to be Schur concave on finite alphabets. Recently, the authors have strengthened the result by showing that for any pair of probability distributions P and Q with Q majorized by P , the entropy of Q is larger than the entropy of P by the amount of relative entropy D(P ||Q). This result applies to P and Q defined on countable alphabets. This paper shows the counterpart of t...

An computer-aided diagnosis system of pathological brain detection (PBD) is important for help physicians interpret and analyze medical images. We proposed a novel automatic PBD to distinguish pathological brains from healthy brains in magnetic resonance imaging scanning in this paper. The proposed method simplified the PBD problem to a binary classification task. We extracted the wavelet packe...

Classification of processes as stationary or nonstationary has been recognized as an important and unresolved problem in the analysis of scaling signals. Stationarity or nonstationarity determines not only the form of autocorrelations and moments but also the selection of estimators. In this paper, a methodology for classifying scaling processes as stationary or nonstationary is proposed. The m...