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Continued Fractions, Interval Exchanges and Applications to Geometry

On the equivalence relation of alpha-continued fractions

speaker: Hitoshi Nakada (Keio University)

abstract: The first half of this talk is a survey on the metric theory of alpha-continued fractions. Then the last half, we discuss some relations between the arithmetic property of alpha-continued fractions and the dynamics of the associated transformation from a different point of view.

timetable:
Fri 14 Jun, 10:30 - 11:20, Aula Dini
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