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14 p, 317.2 KB Irregular sets for ratios of Birkhoff averages are residual / Barreira, Luis (Instituto Superior Técnico (Lisboa, Portugal). Departamento de Matemática) ; Li, Jinjun (Minnan Normal University. School of Mathematics and Statistics) ; Valls, Clàudia, 1973- (Instituto Superior Técnico (Lisboa, Portugal). Departamento de Matemática)
It follows from Birkhoff's Ergodic Theorem that the irregular set of points for which the Birkhff averages of a given continuous function diverge has zero measure with respect to any finite invariant measure. [...]
2014 - 10.5565/PUBLMAT_Extra14_03
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 49-62  
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