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arXiv · 1209.2611

Comment on "Towards a large deviation theory for strongly correlated systems"

Hugo Touchette
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Abstract

I comment on a recent paper by Ruiz and Tsallis [Phys. Lett. A 376, 2451 (2012)] claiming to have found a '$q$-exponential' generalization of the large deviation principle for strongly correlated random variables. I show that the basic scaling results that they find numerically can be reproduced with a simple example involving independent random variables, and are not specifically related to the $q$-exponential function. In fact, identical scaling results can be obtained with any other power-law deformations of the exponential. Thus their results do not conclusively support their claim of a $q$-exponential generalization of the large deviation principle.

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Hugo Touchette. 2012-09-12. Comment on "Towards a large deviation theory for strongly correlated systems". https://doi.org/10.1016/j.physleta.2012.12.001

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