Self-Similar Sets and Self-Similar Measures

Seminar series

Junior Number Theory Seminar

Date

Mon, 14 Oct 2024
16:00

Location

Speaker

Constantin Kogler

Organisation

University of Oxford

We give a gentle introduction to the theory of self-similar sets and self-similar measures. Connections of this topic to Diophantine approximation on Lie groups as well as to additive combinatorics will be exposed. In particular, we will discuss recent progress on Bernoulli convolutions. If time permits, we mention recent joint work with Samuel Kittle on absolutely continuous self-similar measures.