Potential Theory of Regenerative Compositions

Project Description

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing in September 2020 for self-funded students.

This project will be supervised by Prof. Alexander Gnedin.

Composition structure is a consistent sequence of random ordered partitions, one for each integer n. There is a very precise correspondence between the increasing Lévy processes (subordinators) and composition structures with the property of regeneration, which allows one to model composition as path of a certain Markov chain. The aim of the project is to study how by the virtue of this correspondence the potential theory of subordinators translates in combinatorial terms, in particular as properties of the Green function of the Markov chain.

Funding Information

This project can be undertaken as a self-funded project. Self-funded applications are accepted year-round for a January, April or September start.

Application Process

The application procedure is described on the School website. For further inquiries please contact Prof. Alexander Gnedin at [email protected].

Supplementary Information

The School of Mathematical Sciences is committed to the equality of opportunities and to advancing women’s careers. As holders of a Bronze Athena SWAN award we offer family friendly benefits and support part-time study.

To apply for this PhD, please use the following application link: https://www.qmul.ac.uk/maths/postgraduate/postgraduate-research/application-process/