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A unifying (maternal) theory for continued fractions

A unifying (maternal) theory for continued fractions

Start: 
Tuesday, February 4, 2025 11:00 am
End: 
Tuesday, February 4, 2025 11:50 am
Location: 
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Slade Sanderson
Utrecht University, the Netherlands

Every irrational number has a unique regular continued fraction (c.f.) expansion whose digits are generated algorithmically by the Gauss map. However, there are several other types of c.f.-expansions and algorithms to produce these. By `inducing contractions of the mother of all continued fractions'---terminology which will be justified in the talk---we find a unifying theory for many of these algorithms and metrical properties of the c.f.s they produce. This is joint work with Karma Dajani and Cor Kraaikamp.

Contact: 
T Schmidt