- Type of research degree
- Application deadline
- Ongoing deadline
- Country eligibility
- International (open to all nationalities, including the UK)
- Competition funded
- Dr Leonid Bogachev
- School of Mathematics
- Research groups/institutes
- Probability and Financial Mathematics, Statistics
The theory of functional equations is a growing branch of analysis with many deep results and abundant applications (see  for a general introduction). A simple functional-differential equation with rescaling is given by y'(x) + y(x) = p y(2x) + (1-p) y(x/2) (0 You will be based within a strong research group in Probability, Stochastic Modelling & Financial Mathematics Key benefits Our research focuses on the study and modelling of systems and processes featured by uncertainty and/or complexity, using advanced theoretical, simulation and numerical methods. It covers a vast variety of modern topics both in probability (including theory of random processes and stochastic analysis) and in a wide range of applications in mathematical and other sciences, spanning from nonlinear dynamical systems and mathematical physics through mathematical biology and complexity theory to mathematical finance and economics.
<p>The earliest start date for this project is 1 October 2020.</p>
<p>Formal applications for research degree study should be made online through the <a href="https://www.leeds.ac.uk/info/130206/applying/91/applying_for_research_degrees">University's website</a>. Please state clearly in the research information section that the research degree you wish to be considered for is ‘The Archetypal Equation with Rescaling and Related Topics’ as well as <a href="https://physicalsciences.leeds.ac.uk/staff/8/dr-leonid-bogachev">Dr Leonid Bogachev</a> as your proposed supervisor.</p> <p>If English is not your first language, you must provide evidence that you meet the University's minimum English language requirements (below).</p> <p><em>We welcome applications from all suitably-qualified candidates, but UK black and minority ethnic (BME) researchers are currently under-represented in our Postgraduate Research community, and we would therefore particularly encourage applications from UK BME candidates. All scholarships will be awarded on the basis of merit.</em></p>
Applicants to research degree programmes should normally have at least a first class or an upper second class British Bachelors Honours degree (or equivalent) in an appropriate discipline. The criteria for entry for some research degrees may be higher, for example, several faculties, also require a Masters degree. Applicants are advised to check with the relevant School prior to making an application. Applicants who are uncertain about the requirements for a particular research degree are advised to contact the School or Graduate School prior to making an application.
The minimum English language entry requirement for research postgraduate research study is an IELTS of 6.0 overall with at least 5.5 in each component (reading, writing, listening and speaking) or equivalent. The test must be dated within two years of the start date of the course in order to be valid. Some schools and faculties have a higher requirement.
<p><strong>Self-Funding Students</strong></p> <p><strong>Funding Eligibility</strong></p> <p><strong>UK/EU</strong> – Leeds Doctoral Scholarship Award paying Academic Fees and Maintenance matching EPSRC rate of £15,009 per year for 3 years, School of Mathematics Scholarship award paying Academic Fees and Maintenance matching EPSRC rate of £15,009 per year for 3 years. Alumni Bursary is available to previous University of Leeds graduates offering 10% discount on Academic Fees.</p> <p><strong>International Students</strong> – China Scholarship Council-University of Leeds Scholarship Award paying Academic Fees for 3 years, School of Mathematics Scholarship award paying Academic Fees for 3 years, Commonwealth Scholarship and Commonwealth Split Site Scholarships. Alumni Bursary is available to previous University of Leeds graduates offering 10% discount on Academic Fees.</p>
<p>For further information regarding your application, please contact Doctoral College Admissions by email: <a href="mailto:EMAIL@leeds.ac.uk">m</a><a href="mailto:email@example.com">firstname.lastname@example.org</a>, or by telephone: +44 (0)113 343 5057</p> <p>For further informaiton regarding the project, please contact Dr Leonid Bogachev by email: <a href="mailto:L.V.Bogachev@leeds.ac.uk">L.V.Bogachev@leeds.ac.uk</a></p>
<h3 class="heading heading--sm">Linked funding opportunities</h3>
<h3 class="heading heading--sm">Linked research areas</h3>