The general goal of this project is to deepen our understanding of invariant sets and measures arising from iterated function systems. This goal can be approached from various angles. Specific problems include understanding the cardinality and complexity of the set of codings for a point in the invariant set or understanding the number theoretic properties of a typical point belonging to the invariant set. This project lies at the intersection of Ergodic Theory and Fractal Geometry.
Simon Baker - [Email Address Removed]
Entry requirements for United Kingdom
Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Mathematics or a related subject.
English language requirements
Applicants must meet the minimum English language requirements. Further details are available on the International website.
Find out more about research degree funding
How to apply
All applications should be made online. Under programme name, select Mathematical Sciences. Please quote the advertised reference number: SCI23-SB in your application. See studentship assessment criteria.
To avoid delays in processing your application, please ensure that you submit the minimum supporting documents.