INVESTIGADORES
VERICAT Fernando
artículos
Título:
Bounds for estimators of ergodic averages
Autor/es:
MESON, ALEJANDRO M.; VERICAT, FERNANDO
Revista:
INTERNATIONAL JOURNAL OF MATHEMATICAL ANALYSIS
Editorial:
HIKSRI LTD.
Referencias:
Lugar: Ruse; Año: 2013 vol. 7 p. 669 - 712
ISSN:
1312-8876
Resumen:
We consider different ergodic averages and estimate the measure of the set of points in which the averages apart from a given value. The cases considered are empirical measures of cylinders in symbolic spaces and averages of maps given a kind Lyapunov exponents, in a such spaces. Besides we obtain bounds for the fluctuations of ergodic averages from amenable action groups. The bounds obtained are valid for any ¨time¨, not only, like in case of large deviations, for asymptotic values.