Geodesic
Limiting curves for the Pascal adic transformation
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXVI. Representation theory, dynamical systems, combinatorial methods, Tome 437 (2015), pp. 145-183

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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. 
@article{ZNSL_2015_437_a7,
     author = {A. A. Lodkin and A. R. Minabutdinov},
     title = {Limiting curves for the {Pascal} adic transformation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {145--183},
     publisher = {mathdoc},
     volume = {437},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_437_a7/}
}
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A. A. Lodkin; A. R. Minabutdinov. Limiting curves for the Pascal adic transformation. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXVI. Representation theory, dynamical systems, combinatorial methods, Tome 437 (2015), pp. 145-183. http://geodesic.mathdoc.fr/item/ZNSL_2015_437_a7/