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math.DS2010
A note on Diophantine-type fractals for α-Lüroth systems
Sara Munday
The Hausdorff dimensions of certain sets of real numbers described in terms of the α-Lüroth expansion are given.
math.DS2010★ 30 cited
Strong renewal theorems and Lyapunov spectra for -Farey and -Lüroth systems
Marc Kesseböhmer, Sara Munday, Bernd O. Stratmann
In this paper we introduce and study the -Farey map and its associated jump transformation, the -Lüroth map, for an arbitrary countable partition of the unit interval wit…