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math.DS2017
Natural Extensions for Nakada's alpha-expansions: descending from 1 to g^2
Jaap de Jonge, Cor Kraaikamp
By means of singularisations and insertions in Nakada's alpha-expansions, which involves the removal of partial quotients 1 while introducing partial quotients with a minus sign, t…
math.DS2017★ 3 cited
Synchronization is full measure for all -deformations of an infinite class of continued fraction transformations
Kariane Calta, Cor Kraaikamp, Thomas A. Schmidt
We study an infinite family of one-parameter deformations, so-called -continued fractions, of interval maps associated to distinct triangle Fuchsian groups. In general for such…