Nonextensive Statistical Mechanics

354 Bibliography253. S.M.D. Queiros and C. Tsallis, Nonextensive statistical mechanics and central limit theoremsII - Convolution of q-independent random variables,inComplexity, Metastability and Nonextensivity,eds. S. Abe, H.J. Herrmann, P. Quarati, A. Rapisarda and C. Tsallis, AmericanInstitute of Physics Conference Proceedings 965, 21 (New York, 2007).254. C. Vignat and A. Plastino, Central limit theorem and deformed exponentials, J. Phys. A 40,F969–F978 (2007).255. J.-F. Bercher and C. Vignat, A new look at q-exponential distributions via excess statistics,Physica A 387, 5422 (2008).256. S. Umarov and C. Tsallis, On a representation of the inverse F q -transform, Phys. Lett. A372, 4874 (2008).257. H.J. Hilhorst, private communication (2008).258. C. Tsallis, A.R. Plastino and R.J. Alvarez-Estrada, A note on escort mean values and thecharacterization of probability densities, preprint (2008).259. S. Abe and G.B. Bagci, Necessity of q-expectation value in nonextensive statistical mechanics,Phys. Rev. E 71, 016139 (2005).260. S. Abe, Why q-expectation values must be used in nonextensive statistical mechanics, Astrophys.Space. Sci. 305, 241 (2006).261. J.E. Shore and R.W. Johnson, IEEE Trans. Inf. Theory IT-26, 26 (1980); IT-27, 472 (1981);and IT-29, 942 (1983).262. S. Abe, Temperature of nonextensive systems: Tsallis entropy as Clausius entropy, PhysicaA 368, 430 (2006).263. A.M.C. Souza and C. Tsallis, Stability of the entropy for superstatistics, Phys. Lett. A 319,273 (2003).264. A.M.C. Souza and C. Tsallis, Stability analysis of the entropy for superstatistics, Physica A342, 132 (2004).265. B.D. Hughes, Random Walks and Random Environments, Vols. I and II (Clarendon Press,Oxford, 1995).266. A.M. Mariz, F. van Wijland, H.J. Hilhorst, S.R. Gomes Junior and C. Tsallis, Statistics of theone-dimensional Riemann walk, J. Stat. Phys. 102, 259 (2001).267. A.C. McBride, Fractional Calculus (Halsted Press, New York, 1986).268. K. Nishimoto, Fractional Calculus (University of New Haven Press, New Haven, CT, 1989).269. S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives (Gordonand Breach, Yverdon, Switzerland, 1993).270. R. Hilfer, ed. Applications of Fractional Calculus in Physics (World Scientific, Singapore,2000).271. A.M.C. de Souza and C. Tsallis, Student’s t- and r-distributions: Unified derivation from anentropic variational principle, Physica A 236, 52 (1997).272. E.M.F. Curado and F.D. Nobre, Derivation of nonlinear Fokker-Planck equationsby means of approximations to the master equation, Phys. Rev. E 67, 021107(2003).273. F.D. Nobre, E.M.F. Curado and G. Rowlands, A procedure for obtaining general nonlinearFokker-Planck equations, Physica A 334, 109 (2004).274. V. Schwammle, F.D. Nobre and C. Tsallis, q-Gaussians in the porous-medium equation:Stability and time evolution, Eur. Phys. J. B 66, 537 (2008).275. I.T. Pedron, R.S. Mendes, T.J. Buratta, L.C. Malacarne and E.K. Lenzi, Logarithmic diffusionand porous media equations: An unified description, Phys. Rev. E 72, 031106 (2005).276. C. Tsallis and M.P. de Albuquerque, Are citations of scientific papers a case of nonextensivity?,Eur. Phys. J. B 13, 777 (2000).277. S. Redner, How popular is your paper? An empirical study of the citation distribution, Eur.Phys. J. B 4, 131 (1998).278. H.M. Gupta, J.R. Campanha and R.A.G. Pesce, Power-law distributions for the CitationIndex of scientific publications and scientists, Braz. J. Phys. 35, 981 (2005).