منابع مشابه
Tsallis’ q-triplet and the ozone layer
Keywords: Nonextensive statistical mechanics Meta-stable states Mixing Weak chaos q-triplet Stratospheric ozone a b s t r a c t Tsallis' q-triplet [C. Tsallis, Dynamical scenario for nonextensive statistical mechanics, Physica A 340 (2004) 1–10] is the best empirical quantifier of nonextensivity. Here we study it with reference to an experimental time-series related to the daily depth-values of...
متن کاملMaximum Likelihood Estimation for q-Exponential (Tsallis) Distributions
Tsallis et al. proposed these distributions to handle statistical-mechanical systems with long-range interactions, necessitating (it is claimed) a non-extensive generalization of the ordinary Gibbs-Shannon entropy. Following Jaynes’s procedure of maximizing an entropy subject to constraints on expectation values [2], they got the q-exponential distributions, in which κ enforces the constraints,...
متن کاملDistinguishing Stationary/Nonstationary Scaling Processes Using Wavelet Tsallis q-Entropies
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...
متن کاملAttributed Graph Kernels Using the Jensen-Tsallis q-Differences
We propose a family of attributed graph kernels based on mutual information measures, i.e., the Jensen-Tsallis (JT) q-differences (for q ∈ [1, 2]) between probability distributions over the graphs. To this end, we first assign a probability to each vertex of the graph through a continuous-time quantum walk (CTQW). We then adopt the tree-index approach [1] to strengthen the original vertex label...
متن کاملAdditive Entropies of degree-q and the Tsallis Entropy
The Tsallis entropy is shown to be an additive entropy of degree-q that information scientists have been using for almost forty years. Neither is it a unique solution to the nonadditive functional equation from which random entropies are derived. Notions of additivity, extensivity and homogeneity are clarified. The relation between mean code lengths in coding theory and various expressions for ...
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ژورنال
عنوان ژورنال: Chinese Physics C
سال: 2018
ISSN: 1674-1137
DOI: 10.1088/1674-1137/42/5/053102