17 citations · 24 across the 5 of their papers we have counts for
5 papers · 1 filter
Geodesic flows and slow downs of continued fraction maps
Claire Merriman
The connection between cutting sequences of geodesics on the modular surface and regular continued fractions was established…
Natural extensions and entropy of -continued fraction expansions with odd partial quotients
Yusuf Hartono, Cor Kraaikamp, Niels Langeveld +1
In an article (which we will refer to as [BM]) of Boca and the fourth author of this paper, a new class of continued fraction expansions with odd partial quotients, parameterized b…
Geodesic flows and the mother of all continued fractions
Claire Merriman
We extend the Series' connection between the modular surface , cutting sequences, and regular continued fractions…
-Expansions with odd partial quotients
Florin P. Boca, Claire Merriman
We consider an analogue of Nakada's -continued fraction transformation in the setting of continued fractions with odd partial quotients. More precisely, given $α\in [\frac{1}{2}…
Coding of geodesics on some modular surfaces and applications to odd and even continued fractions
Florin P. Boca, Claire Merriman
The connection between geodesics on the modular surface and regular continued fractions, established by Series, is extende…