- UK/EU/International: Worldwide (International, UK and EU)
- Value: This project is open to self-funded students and is eligible for funding from the School of Mathematics Scholarships, EPSRC Doctoral Training Partnerships, and Leeds Doctoral Scholarships.
- Number of awards: Variable
- Deadline: Applications accepted all year round
- Key benefits: Our research focusses on the study and modelling of systems and processes featured by uncertainty and/or complexity, using advanced theoretical, simulation and numerical methods. It covers a vast variety of modern topics both in probability (including theory of random processes and stochastic analysis) and in a wide range of applications in mathematical and other sciences, spanning from nonlinear dynamical systems and mathematical physics through mathematical biology and complexity theory to mathematical finance and economics.
Contact Dr Leonid V. Bogachev to discuss this project further informally.
The theory of functional equations is a growing branch of analysis with many deep results and abundant applications (see  for a general introduction). A simple functional-differential equation with rescaling is given by y'(x) + y(x) = p y(2x) + (1-p) y(x/2) (0
You will be based within a strong research group in Probability, Stochastic Modelling & Financial Mathematics
Applications are invited from candidates with or expecting a minimum of a UK upper second class honours degree (2:1), and/or a Master's degree in a relevant subject such as (but not limited to) probability; random processes; analysis; mathematical statistics.
If English is not your first language, you must provide evidence that you meet the University’s minimum English Language requirements.
How to apply
Formal applications for research degree study should be made online through the university's website. Please state clearly in the research information section that the PhD you wish to be considered for is the ‘The Archetypal Equation with Rescaling and Related Topics’ as well as Dr Leonid V. Bogachev as your proposed supervisor.
We welcome scholarship applications from all suitably-qualified candidates, but UK black and minority ethnic (BME) researchers are currently under-represented in our Postgraduate Research community, and we would therefore particularly encourage applications from UK BME candidates. All scholarships will be awarded on the basis of merit.
If you require any further information please contact the Graduate School Office, e: firstname.lastname@example.org