A. A. Lodkin, A. R. Minabutdinov, “Limiting curves for the Pascal adic transformation”, Zap. Nauchn. Sem. POMI, 2015, Volume 437,Pages <nobr>145

This article is cited in 4 papers

Limiting curves for the Pascal adic transformation

A. A. Lodkin^a, A. R. Minabutdinov^b

^a St. Petersburg State University, St. Petersburg, Russia
^b National Research University "Higher School of Economics", St. Petersburg, Russia

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

Key words and phrases: Pascal-adic transformation, ergodic theorem, Takagi function, Krawtchouk polynomials.

UDC: 517.987.5+519.21

Received: 12.10.2015