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.
The application procedure is described on the School website. For further inquiries please contact Prof. Alexander Gnedin at [Email Address Removed]. This project is eligible for full funding, including support for 3.5 years’ study, additional funds for conference and research visits and funding for relevant IT needs. Applicants interested in the full funding will have to participate in a highly competitive selection process.