PhD Studentship on Large deviation principles for Random walks in Random potential
We are pleased to offer this fully-funded PhD studentship, available in the Department of Mathematics at University of Sussex.
The project aims to understand the behaviour of various `rare events' associated with aspects of three types of growth processes, namely first and last passage percolation or random walks in random potential.
In random spatial processes such as these, we have always two sources of randomness.
First, we have a background random environment on a lattice that creates the `random medium' and then, under a fixed environment, we define a measure on lattice paths.
The goal of the proposed project is to understand not only the typical, but most importantly the atypical behaviour of these path measures and the paths themselves, under various conditions on the random environment.
The usual techniques necessary for such endeavours are drawn from various areas of Analysis (Real, Complex, Convex and Functional) and probabilistic techniques that when not completely general, are usually model dependent.
The PhD project will be under the supervision of Dr Nicol Georgiou.
Type of award
£14057 per annum tax-free bursary and waiver of UK/EU fees each year for 3.5 years. Full-time study.
Candidates are encouraged to apply, or at least make an expression of interest, as early as possible. The award will be filled as soon as a suitable candidate can be found.
The last possible date we can receive applications is 15 September 2015.
Possible start dates are 17 September 2015 or the 01 February 2016.
This is a full-time studentship and the successful candidate will be able to devote their whole time to research. With agreement of the supervisor the student may take on a limited amount of teaching, for which additional payment will be made.
The Department of Mathematics research webpages can be found here:
Academic enquiries should be sent to Dr Nicos Georgiou,http://www.sussex.ac.uk/profiles/329373
Enquiries about your eligibility, the progress of your application, and your admission to Sussex should be sent to Mr Richard Chambers, firstname.lastname@example.org