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https://oa.upm.es/16718/1/INVE_MEM_2012_136241.pdf
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Ruiz Lopez
Guiomar

Tsallis
Constantino
Reply to Comment on ``Towards a large deviation theory for strongly correlated systems''
byncnd
pub
 fisica
public
Probability theory, Statistical mechanics, Entropy
The computational study commented by Touchette opens the door to a desirable generalization of standard large deviation theory for special, though ubiquitous, correlations. We focus on three interrelated aspects: (i) numerical results strongly suggest that the standard exponential probability law is asymptotically replaced by a powerlaw dominant term; (ii) a subdominant term appears to reinforce the thermodynamically extensive entropic nature of qgeneralized rate function; (iii) the correlations we discussed, correspond to Q Gaussian distributions, differing from Lévy?s, except in the case of Cauchy?Lorentz distributions. Touchette has agreeably discussed point (i), but, unfortunately, points (ii) and (iii) escaped to his analysis. Claiming the absence of connection with qexponentials is unjustified.
published
20130204
Physics Letters A
377
6
491495
10.1016/j.physleta.2012.12.009
E_Aeronautica
Matematica_Aplicada9
TRUE
03759601