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DTC MATH 10 - Probability measures on infinite dimensional spaces and umbral calculus

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  • Full or part time
    Prof E Lytvynov
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

The classical umbral calculus is a study of Sheffer polynomial sequences on the real line. This theory has numerous connections with algebra, analysis, probability theory, mathematical physics, topology etc. In this project, you will study umbral calculus in the infinite dimensional setting and probability measures on infinite dimensional spaces with respect to which Sheffer polynomial sequences defined on an infinite dimensional space are orthogonal.

Entry requirements

Candidates must have a minimum of an upper second class honours degree or equivalent in a relevant subject, or an appropriate Master’s degree (with Merit). Informal enquiries are welcome by emailing the project supervisor.

For candidates whose first language is not English, we require IELTS 6.0 (with 5.5 in each component) or equivalent. Please visit our website for a list of acceptable English language tests. We prefer candidates to have already met the English Language requirements at the point of application, although this is not a requirement.

How to apply

Visit our webpage for details - http://www.swansea.ac.uk/science/research/dtc/biosciences-projects-2018-19/

Please include the project ID and title in your email subject header (eg. DTC MATH xxxxxx)

Funding Notes

Student Finance England have announced plans to offer student loans for PhD level courses from September 2018 for courses at any PhD awarding university (including Swansea University). Full details are still to be confirmed. Visit our website for updated information. – http://www.swansea.ac.uk/postgraduate/fees-and-funding/pg-loans/

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