Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure

The paper generalizes results by E. Janvresse, T. de la Rue, and Y. Velenik on fluctuations in ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure for a wide class of functions. In particular, we answer several questions from the above-mentioned paper.