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On Farey Statistics for Quotients by Hecke Triangle Groups
Student-Run Geometry/Topology SeminarSpeaker: | Diaaeldin Taha, University of Washington |
Location: | MSB 3106 |
Start time: | Tue, Oct 1 2019, 11:00AM |
The Farey fractions are a famous enumeration of the rationals that permeate several fields of mathematics. In 2001, F. Boca, C. Cobeli, and A. Zaharescu introduced a dynamical system, now increasingly known as the BCZ system, that can be used to describe several statistical properties of the Farey fractions. In this talk, we review the BCZ dynamical system and its applications to classical Farey statistics.