Dr O Bandtlow
No more applications being accepted
Funded PhD Project (European/UK Students Only)
About the Project
The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing in September 2018. The deadline for funded applications is the 31st of January 2018.
This project will be supervised by Dr Oscar Bandtlow.
A particularly fertile branch of modern dynamical systems theory is Ruelle’s thermodynamic formalism, a collection of methods to study the long-term statistical behaviour of chaotic dynamical systems. A central object of this formalism is the so-called transfer operator, also known as Frobenius-Perron operator, the spectral data of which can be used to obtain dynamical and geometric invariants of the underlying system (see, for example, [LM, BoyG, Bal]).
Transfer operators have recently also found application in attacking a challenging engineering problem: the modelling of noise and vibrations in complex built-up structures, such as cars, aeroplanes or ships, through a method termed Dynamical Energy Analysis (see [Tan, CTLS]). Oscar Bandtlow has recently been awarded an EPSRC grant entitled ‘Transfer operator methods for modelling high-frequency wave fields — advancements through modern functional and numerical analysis’, which aims at bringing together the expertise of three research groups, at QMUL (led by Oscar Bandtlow), the University of Nottingham (led by Gregor Tanner) and Nottingham Trent University (led by David Chappell), as well as two industrial partners (Romax Ltd and PACSYS Ltd), in order to put Dynamical Energy Analysis on a solid mathematical footing. The underlying theme will be to investigate the spectral properties of transfer operators arising from various dynamical systems as well as devising efficient methods to
approximate these spectra.
For full information, please see http://www.maths.qmul.ac.uk/sites/default/files/PhD%20Projects%202018-19/Bandtlow%20Project%202018.pdf
The application procedure is described on the School website. For further inquiries please contact Dr Oscar Bandtlow at [Email Address Removed]. This project is eligible for full funding, including support for 3.5 years’ study, additional funds for conference and research visits and funding for relevant IT needs. Applicants interested in the full funding will have to participate in a highly competitive selection process.
Funding Notes
The studentship is funded from the Research Support Fund scheme by the Faculty of Science and Engineering at Queen Mary University of London. The studentship arrangement will cover tuition fees and provide an annual stipend for up to three years (Currently set as £16,553 in 2017/18) and additional funds for conference and research visits and funding for relevant IT needs. There will be the possibility of extending this for a further 6 months pending successful progress through the degree.
References
[Bal] V Baladi. Positive transfer operators and decay of correlations. Singapore, World Scientific, 2000
[BoyG] A Boyarski, P Gora. Laws of Chaos. Basel, Birkhauser, 1997
[CTLS] DJ Chappell, G Tanner, D Lochel, N Sondergaard. Discrete ow mapping: transport of phase space densities on triangulated surfaces. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 469 (2013) 20130153
[LM] A Lasota, MC Mackey. Chaos, Fractals, and Noise. New York, Springer, 1994
[Tan] G Tanner. Dynamical energy analysis determining wave energy distributions in vibro-acoustical structures in the high frequency regime. J. Sound Vib. 320 (2009) 1023
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