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
Postgraduate Research
Award amount
£14057 per annum tax-free bursary and waiver of UK/EU fees each year for 3.5 years. Full-time study.
Eligibility
Applicants must hold, or expect to hold, a UK Bachelor degree in Mathematics at first or upper second class, and/or a UK Master's degree in Mathematics, or equivalent non-UK qualifications. A high standard of written and spoken English is essential.
The studentship is open to UK and EU resident students.
Overseas (ex-EU) students may also apply, but applicants should note that the award waives the fees at UK/EU rates only, of £4068 per year. Due to UK government requirements, Overseas students pay higher fees of £14450 per year, so additional fees of £10382 per year will be required. We regret we are unable to fund the additional fees ourselves.
Application procedure
Apply through the Sussex on-line system http://www.sussex.ac.uk/pgapplication
State in the Funding section of the application form that you are applying for the "PhD Studentship on Large deviation principles for Random walks in Random potential, supervised by Dr Nicos Georgiou".
Applications should include a CV, as well as transcripts of marks obtained on your degree(s) and the names and contact details of two academic referees.
Overseas (ex-EU) students must state how they will fund the additional fees required, for 3.5 years. We cannot consider applications from Overseas students without a clear plan stating how the additional funding will be raised.
Timetable
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.
Further information
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:
http://www.sussex.ac.uk/maths/research
Contact details
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, phd@maths.sussex.ac.uk