PhD Studentship: Rare Events for Dynamical Systems via Transfer Operator Techniques

Loughborough University

Start date of studentship: 1st October 2018

Closing date for applications: 16th February 2018


Primary supervisor: Dr Wael Bahsoun

Secondary supervisor: Dr Brian Winn

Loughborough University is a top-ten rated university in England for research intensity (REF2014). In choosing Loughborough for your research, you’ll work alongside academics who are leaders in their field. You will benefit from comprehensive support and guidance from our Doctoral College, including tailored careers advice, to help you succeed in your research and future career.


The research will be conducted in the Department of Mathematical Sciences which works to deliver innovative research that has the potential to have significant impact on industry. Nonlinear dynamics is one of the main research themes in the Department. This includes integrable systems, dynamical systems, ergodic theory, stochastic systems, nonlinear PDEs, biological systems, waves and vortices in geophysical fluid dynamics. Research students within the department enjoy a vibrant learning community benefitting from a range of resources to support their work, plus the opportunity to undertake training in lecturing/tutoring.


Full Project Detail:

The study of rare events in dynamical systems is currently one of the most active branches of research in ergodic theory. In part, this is due to their interesting applications in earth and ocean sciences. An example of a rare event in dynamical systems appears in the study of ‘open’ systems where orbits infrequently escape from the domain, typically by falling into a small “hole” in the phase space. The goal of the project is to use spectral techniques (via the so called Perron-Frobenius operator) to approximate escape rates in open systems and to compute the Hausdorff dimension of survival sets.

Find out more:

Please contact Dr Wael Bahsoun for further information about the project.

Entry requirements:

Applicants should have, or expect to achieve, a 1st or 2:1 Honours degree (or equivalent) in Mathematics or a related subject. A relevant Master’s degree will be an advantage.

Funding information:

This studentship will be awarded on a competitive basis to applicants who have applied to this project and/or any of the advertised projects prioritised for funding by the School of Science.

The 3-year studentship provides a tax-free stipend of £14,553 (2017 rate) per annum (in line with the standard research council rates) for the duration of the studentship plus tuition fees at the UK/EU rate.  International (non-EU) students may apply however the total value of the studentship will be used towards the cost of the International tuition fee in the first instance.

Contact details:

Name: Dr Wael Bahsoun


Tel: +44(0)1509-222883

How to apply:

Applications should be made online at Under programme name, select ‘Mathematical Sciences’.

Please quote reference number: WB/MA/2018

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