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On some recent results regarding the limit theorems in non-extensive statistical mechanics
Sabir Umarov
UNM
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On some recent results regarding the limit theorems in non-extensive statistical mechanics Sabir Umarov UNM |
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ABSTRACT The classic Boltzmann-Gibbs entropy introduced in XIX century plays an important role in the classic statistical mechanics. Later other types of deformed entropies have been appeared, each of them describing some natural physical systems adequately. The maximization of the classic BG-entropy is connected with the classic Gaussian. The central limit theorem states that the Gaussian is the attractor of a sequence of independent random variables with a finite variances. In the talk we present analogous results for some above mentioned deformed entropies generalizing the central limit theorem for sequences of correlated in a special manner random variables. |