PhD Studentship - Long-term Behaviour of Markov Chains

Research theme: Probability Theory

How to apply: uom.link/pgr-apply-2425

Positions available: one

This 3.5 year Project is fully funded; tuition fees will be paid and you will receive an annual tax free allowance based on the UKRI rate (£19,237 for 2024/25). We expect the stipend to increase each year. This project is open to home students and those with settled status.

Several projects are available, studying idealised Markovian models of epidemic, population and network processes. The emphasis will mostly be on theoretical aspects of the models, involving advanced probability theory.

For instance, there are a number of stochastic models of epidemics where the course of the epidemic is known to follow the solution of a differential equation over short time intervals, but where little or nothing has been proved about the long-term behaviour of the stochastic process. Techniques have been developed for studying such problems, and a project might involve adapting these methods to new settings.

Depending on the preference of the candidate, a project might involve a substantial computational component, gaining insights into the behaviour of a model, via simulations, ahead of proving rigorous theoretical results.

Applicants should have, or expect to achieve, at least a 2.1 honours degree or a master’s (or international equivalent) in a relevant science or engineering related discipline.

Please contact Dr Malwina Luczak - malwina.luczak@manchester.ac.uk  for this project before you apply. Please include details of your current level of study, academic background and any relevant experience and include a paragraph about your motivation to study this PhD project.

If you have any queries regarding making an application, please contact our admissions team FSE.doctoralacademy.admissions@manchester.ac.uk

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