Descripción
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The theory of large deviations constitutes a mathematical cornerstone in the foundations of Boltzmann-Gibbs statistical mechanics, based on the Boltzmann-Gibbs-Shannon additive entropy . To attain the same status for nonextensive statistical mechanics, based on the generalized Tsallis entropy it is necessary to q-generalize the large deviation theory itself. We have studied large deviations for strongly correlated models that provide, in the asymptotic limit q*-Gaussian distributions, ubiquitously observed in nature. The corresponding large deviations are governed, at least in second approximation order by q-exponentials. Their respective q* and q indexes are analytically related. These q-generalized illustrations open the door towards a desirable large-deviation foundation of nonextensive statistical mechanics. | |
Internacional
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Si |
Nombre congreso
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Seminario |
Entidad organizadora
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Centro Brasileiro de Pesquisas Físicas |
Nacionalidad Entidad
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Sin nacionalidad |
Lugar/Ciudad de impartición
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Brasil / Rio de Janeiro |
Fecha inicio
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12/11/2014 |
Fecha fin
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12/11/2014 |