Bounds for Estimators of Ergodic Averages
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 b...
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| Autores principales: | , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2013
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/95400 https://ri.conicet.gov.ar/11336/23513 http://www.m-hikari.com/ijma/ijma-2013/ijma-13-16-2013/13067.html |
| Aporte de: |
| Sumario: | 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. |
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