Geodesic
On the Pyatetskii-Shapiro normality criterion for continued fractions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 6, pp. 177-188

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Analogues of the Pyatetskii-Shapiro normality criterion for continued fractions and for $f$-expandings with finite initial tiling are established, improving some results by Moshchevitin and Shkredov obtained in the 2002 paper “On Pyatetskii-Shapiro criterion of normality”. 
@article{FPM_2010_16_6_a14,
     author = {I. D. Shkredov},
     title = {On the {Pyatetskii-Shapiro} normality criterion for continued fractions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {177--188},
     publisher = {mathdoc},
     volume = {16},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a14/}
}
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I. D. Shkredov. On the Pyatetskii-Shapiro normality criterion for continued fractions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 6, pp. 177-188. http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a14/