eprintid: 16718 rev_number: 10 eprint_status: archive userid: 1903 dir: disk0/00/01/67/18 datestamp: 2014-11-04 19:45:23 lastmod: 2014-11-04 19:45:23 status_changed: 2014-11-04 19:45:23 type: article metadata_visibility: show item_issues_count: 0 creators_name: Ruiz Lopez, Guiomar creators_name: Tsallis, Constantino title: Reply to Comment on ``Towards a large deviation theory for strongly correlated systems'' rights: by-nc-nd ispublished: pub subjects: fisica full_text_status: public keywords: Probability theory, Statistical mechanics, Entropy abstract: 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. date_type: published date: 2013-02-04 publication: Physics Letters A volume: 377 number: 6 pagerange: 491-495 id_number: 10.1016/j.physleta.2012.12.009 institution: E_Aeronautica department: Matematica_Aplicada9 refereed: TRUE issn: 0375-9601 citation: Ruiz Lopez, Guiomar and Tsallis, Constantino (2013). Reply to Comment on ``Towards a large deviation theory for strongly correlated systems''. "Physics Letters A", v. 377 (n. 6); pp. 491-495. ISSN 0375-9601. https://doi.org/10.1016/j.physleta.2012.12.009 . document_url: http://oa.upm.es/16718/1/INVE_MEM_2012_136241.pdf