Limiting Curves for the Pascal Adic Transformation


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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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