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Classical statistical mechanics of macroscopic systems in equilibrium isbased on Boltzmann's principle. Tsallis has proposed a generalization ofBoltzmann-Gibbs statistics. Its relation to dynamics and nonextensivity ofstatistical systems are matters of intense investigation and debate. This essayreview has been prepared at the occasion of awarding the 'Mexico Prize forScience and Technology 2003'to Professor Constantino Tsallis from the BrazilianCenter for Research in Physics.Comment: 5 pages, LaTe

astrophysics and space science

Boltzmann-Gibbs Entropy Versus Tsallis Entropy: Recent Contributions to Resolving the Argument of Einstein Concerning “Neither Herr Boltzmann nor Herr Planck has Given a Definition of W”?