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PhD Studentship in large deviation principles for random walks in random potential.

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  • Full or part time
    Dr Georgiou
  • Application Deadline
    No more applications being accepted

Project Description

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

Award amount
£14296 (2016-17) per annum tax-free bursary and waiver of UK/EU fees each year for 3 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.
Candidates with background knowledge of partial differential equations, mathematical analysis, and quantum physics, are preferred.
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 £4052 (2015-16) per year. Due to UK government requirements, Overseas students pay higher fees of £14,800 per year (2015-16), so additional fees of £10,748 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 Information section of the application form that you would like to apply for this studentship, giving the title of the project as above.
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. Please also include an overview of why you are suitable for this position and your reasons for applying.
Ex-EU applicants must state how they will fund the additional fees required. 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.
Last date for applications is 31st September 2016.
Start date at Sussex: 17th September 2016 or 1st May 2016
First payment of the award bursary: 28th September 2016

Further information
This is a full-time studentship. 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
Informal 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 admission to Sussex, should be sent to Rebecca Foster, [email protected]

Related Subjects

How good is research at University of Sussex in Mathematical Sciences?

FTE Category A staff submitted: 20.00

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