Limiting Curves for the Pascal Adic Transformation

The paper generalizes results by E. Janvresse, T. de la Rue, and Y. Velenik and results by the second author on the fluctuations in the ergodic sums for the Pascal adic transformation in the case of an arbitrary ergodic invariant measure and arbitrary cylinder function.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-07, Vol.216 (1), p.94-119
Hauptverfasser: Lodkin, A. A., Minabutdinov, A. R.
Format: Artikel
Sprache:eng
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Zusammenfassung:The paper generalizes results by E. Janvresse, T. de la Rue, and Y. Velenik and results by the second author on the fluctuations in the ergodic sums for the Pascal adic transformation in the case of an arbitrary ergodic invariant measure and arbitrary cylinder function.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-2890-2