29 citations · 151 across the 31 of their papers we have counts for
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Multidimensional continued fractions and symbolic codings of toral translations
Valérie Berthé, Wolfgang Steiner, Jörg M. Thuswaldner
It has been a long standing problem to find good symbolic codings for translations on the -dimensional torus that enjoy the beautiful properties of Sturmian sequences like low f…
Tanaka-Ito -continued fractions and matching
Carlo Carminati, Niels Langeveld, Wolfgang Steiner
Two closely related families of -continued fractions were introduced in 1981: by Nakada on the one hand, by Tanaka and Ito on the other hand. The behavior of the entropy as a fu…
On the ergodic theory of Tanaka-Ito type alpha-continued fractions
Hitoshi Nakada, Wolfgang Steiner
We show the ergodicity of Tanaka-Ito type -continued fraction maps and construct their natural extensions. We also discuss the relation between entropy and the size of the natur…