Ergodic properties of infinite dimensional dynamical systems

This project aims to study ergodic properties of infinite dimensional systems of interacting chaotic units, e.g. units where the dynamics is (non)-uniformly hyperbolic. The project will focus on two types of interactions between the chaotic units: the first one considers rare but strong interactions between neighbouring units, while the second type models an average or effective interaction between all units​. The goal of the project is to investigate conditions under which such infinite dimensional systems admit a unique equilibrium, represented by a Sinai-Ruelle-Bowen measure, to determine rates of convergence to equilibrium, and to study the effect of the interaction strength on the behaviour of the system.

Supervisors

Primary Supervisor: Professor Wael Bahsoun

Tel: +44(0)1509 222883

Email: [Email Address Removed]

Secondary Supervisor: Dr. Jean-Claude Cuenin

Tel: +44 (0)1509 223243

Email: [Email Address Removed]

Entry requirements for United Kingdom

Applicants should have, or expect to achieve, a 2:1 Honours degree in Mathematics. A Master’s degree In Mathematics will be an advantage.

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-WB 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