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Topics in Ergodic Theory and Fractal Geometry

   School of Science

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  Dr Simon Baker  No more applications being accepted  Competition Funded PhD Project (Students Worldwide)

About the Project

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.

Apply now

Funding Notes

UK fee
Fully funded full-time degree per annum
International fee
Fully funded full-time degree per annum
Please note that studentships will be awarded on a competitive basis to applicants who have applied to this project and other advertised projects starting with advert reference ‘SCI23-’ in the School of Science.
If awarded, the studentship is for 3 years and provides a tax-free stipend of £17,668 per annum for the duration of the studentship plus tuition fees at the UK rate. While we welcome applications from international students, please be advised that the total value of the studentship will cover the international tuition fee only.
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