Fluctuation theorems in q-canonical ensembles

Generalizations of statistical mechanics such as Tsallis statistics and superstatistics, among others, describe the occurrence of power-law distributions in long-range interacting systems and complex systems in diverse areas, particularly the so-called q-exponential family of distributions. In this work we present the use of fluctuation theorems for q-canonical ensembles as a powerful tool to readily obtain statistical properties. In particular, we have obtained strong conditions for the possible values of q depending on the density of states of the system.