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Persistent link: https://www.econbiz.de/10009282129
We solve the Unanimity Rule on networks with exponential, uniform and scalefree degree distributions. In particular we arrive at equations relating the asymptotic number of nodes in one of two states to the initial fraction of nodes in this state. The solutions for exponential and uniform...
Persistent link: https://www.econbiz.de/10009282600
An interest for the low-energy range of the nonextensive distribution function arises from the study of radiative recombination in electron cooling devices in particle accelerators, whose experimentally measured reaction rates are much above the theoretical prediction. The use of generalized...
Persistent link: https://www.econbiz.de/10009279972
Using a q-analog of Boltzmann's combinatorial basis of entropy, the non-asymptotic non-degenerate and degenerate combinatorial forms of the Tsallis entropy function are derived. The new measures – supersets of the Tsallis entropy and the non-asymptotic variant of the Shannon entropy – are...
Persistent link: https://www.econbiz.de/10009280252
In this article we analyse the leading statistical properties of fluctuations of (log) 3-month US Treasury bill quotation in the secondary market, namely: probability density function, autocorrelation, absolute values autocorrelation, and absolute values persistency. We verify that this...
Persistent link: https://www.econbiz.de/10009280522
We present results about financial market observables, specifically returns and traded volumes. They are obtained within the current nonextensive statistical mechanical framework based on the entropy <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$S_{q}=k\frac{1-\sum_{i=1}^{W} p_{i} ^{q}}{1-q}\, (q\in \Re) \left(S_{1} \equiv...</equationsource></inlineequation>
Persistent link: https://www.econbiz.de/10009280525
Persistent link: https://www.econbiz.de/10009280894
Persistent link: https://www.econbiz.de/10009281109
This is a study of q-Fermions resulting from q-deformed algebra of harmonic oscillators arising from two distinct algebras. Employing the first algebra, the Fock states are constructed for the generalized Fermions obeying Pauli exclusion principle. The distribution function and other...
Persistent link: https://www.econbiz.de/10009281182
We have investigated the proof of the H theorem within a manifestly covariant approach by considering the relativistic statistical theory developed in [G. Kaniadakis, Phys. Rev. E <Emphasis Type="Bold">66, 056125 (2002); G. Kaniadakis, Phys. Rev. E <Emphasis Type="Bold">72, 036108 (2005)]. As it happens in the nonrelativistic limit, the...</emphasis></emphasis>
Persistent link: https://www.econbiz.de/10009281390