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cs.CC2014★ 2 cited
A characterization of eventually periodicity
Teturo Kamae, Dong Han Kim
In this article, we show that the Kamae-Xue complexity function for an infinite sequence classifies eventual periodicity completely. We prove that an infinite binary word $x_1x_2 \…
math.DS2014
Farey map, Diophantine approximation and Bruhat-Tits tree
Dong Han Kim, Seonhee Lim, Hitoshi Nakada +1
Based on Broise-Alamichel and Paulin's work on the Gauss map corresponding to the principal convergents, we continue the study of the Gauss map via Farey maps to contain all the in…