Limiting Curves for Polynomial Adic Systems
- Autores: Minabutdinov A.1
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Afiliações:
- National Research University Higher School of Economics, Department of Applied Mathematics and Business Informatics
- Edição: Volume 224, Nº 2 (2017)
- Páginas: 286-303
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239558
- DOI: https://doi.org/10.1007/s10958-017-3415-3
- ID: 239558
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Resumo
We prove the existence of and describe limiting curves resulting from deviations in the partial sums in the ergodic theorem for cylinder functions and polynomial adic systems. For a general ergodic measure-preserving transformation and a summable function, we give a necessary condition for a limiting curve to exist. Our work generalizes results by É. Janvresse, T. de la Rue, and Y. Velenik and answers several questions from their work.
Sobre autores
A. Minabutdinov
National Research University Higher School of Economics, Department of Applied Mathematics and Business Informatics
Autor responsável pela correspondência
Email: aminabutdinov@hse.ru
Rússia, St. Petersburg