Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-01-09
Brazilian J. Phys. 39 (2009) 371-379
Physics
Condensed Matter
Statistical Mechanics
New paragraph and references added. 20 pages, 9 figures. Text at the basis of a talk presented at the 7th International Confer
Scientific paper
In this talk I first review at an elementary level a selection of central limit theorems, including some lesser known cases, for sums and maxima of uncorrelated and correlated random variables. I recall why several of them appear in physics. Next, I show that there is room for new versions of central limit theorems applicable to specific classes of problems. Finally, I argue that we have insufficient evidence that, as a consequence of such a theorem, q-Gaussians occupy a special place in statistical physics.
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