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:
zoom
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