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# N ov 2 00 7 A generalization of the central limit theorem consistent with nonextensive statistical mechanics

@inproceedings{Umarov2006NO2, title={N ov 2 00 7 A generalization of the central limit theorem consistent with nonextensive statistical mechanics}, author={Sabir Umarov and Constantino Tsallis and Stanly Steinberg}, year={2006} }

- Published 2006

The standard central limit theorem plays a fundamental role in Boltzmann-Gibbs statistical mechanics. This important physical theory has been generalized [1] in 1988 by using the entropy Sq = 1− P i p q i q−1 (with q ∈ R) instead of its particular BG case S1 = SBG = − P i pi ln pi. The theory which emerges is usually referred to as nonextensive statistical mechanics and recovers the standard theory for q = 1. During the last two decades, this qgeneralized statistical mechanics has been… CONTINUE READING