TY  - JOUR
ID  - upm16718
VL  - 377
TI  - Reply to Comment on ``Towards a large deviation theory for strongly correlated systems''
SP  - 491
UR  - https://oa.upm.es/16718/
AV  - public
Y1  - 2013/02/04/
EP  - 495
KW  - Probability theory
KW  -  Statistical mechanics
KW  -  Entropy
IS  - 6
A1  - Ruiz Lopez, Guiomar
A1  - Tsallis, Constantino
SN  - 0375-9601
N2  - 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 power-law dominant term; (ii) a subdominant term appears to reinforce the thermodynamically extensive entropic nature of q-generalized 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 q-exponentials is unjustified.
JF  - Physics Letters A
ER  -