Seminar series
Date
Thu, 08 Feb 2024
16:00
16:00
Location
Lecture Room 4, Mathematical Institute
Speaker
Sam Chow
Organisation
Dept. Mathematics, University of Warwick
Kaufman constructed a family of Fourier-decaying measures on the set of badly approximable numbers. Pollington and Velani used these to show that Littlewood’s conjecture holds for a full-dimensional set of pairs of badly approximable numbers. We construct analogous measures that have implications for inhomogeneous diophantine approximation. In joint work with Agamemnon Zafeiropoulos and Evgeniy Zorin, our idea is to shift the continued fraction and Ostrowski expansions simultaneously.