Email this article Limiting Curves for the Pascal Adic Transformation
- Authors: Lodkin A.A.1, Minabutdinov A.R.2
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Affiliations:
- St.Petersburg State University
- National Research University Higher School of Economics, Department of Applied Mathematics and Business Informatics
- Issue: Vol 216, No 1 (2016)
- Pages: 94-119
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237759
- DOI: https://doi.org/10.1007/s10958-016-2890-2
- ID: 237759
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Abstract
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.
About the authors
A. A. Lodkin
St.Petersburg State University
Author for correspondence.
Email: lodkin@AL1065.spb.edu
Russian Federation, St.Petersburg
A. R. Minabutdinov
National Research University Higher School of Economics, Department of Applied Mathematics and Business Informatics
Email: lodkin@AL1065.spb.edu
Russian Federation, St.Petersburg
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