|Funding for:||UK Students, EU Students|
|Funding amount:||£27,511 to £34,804 per annum subject to knowledge, skills and experience|
|Placed On:||10th March 2021|
|Closes:||1st May 2021|
PhD Studentship in Mathematics
Supervisors: Professor Valerio Lucarini, Dr Jeroen Wouters, Dr Tobias Kuna
Multi-stability is a ubiquitous property of geophysical systems: for a given choice of values of the internal and external parameters, two or more asymptotic states scan be realised. In the case of deterministic dynamics, the phase space is partitioned between the basins of attraction of such asymptotic states, which live on – possibly strange – attractors. In the case noise is added into the systems, transitions between the various basins of attractions are possible, and, typically, over very long time scales the neighbourhood of all asymptotic states is explored, up to convergence to the invariant measure of the system. In the weak noise limit, transitions occur through special regions of the basin boundaries, called edge or Melancholia states. We will explore the theory of noise-induced transitions in complex systems of geophysical interest and use response theory to flag the vicinity of the tipping points. Taking advantage of recent advances in the theory of stochastic resonance for non-equilibrium systems, we will investigate the possibility of resonant behaviour in the response for suitable tuning of periodic forcing and intensity of the acting noise.
This position is part of the CriticalEarth project – a Horizon 2020 Marie Skłodowska-Curie Actions, Innovative Training Network (ITN) & the successful candidate will form a network of 15 PhD students across different universities in Europe. The candidate will have secondments at the University of Oldenburg (Germany) and the Politecnico di Torino (Italy).
How to apply:
To apply for this studentship please submit an application for a PhD in Mathematics at http://www.reading.ac.uk/graduateschool/prospectivestudents/gs-how-to-apply.aspx.
Application Deadline: 1st May 2021
Please note: The Award for the successful candidate will be confirmed via a formal studentship award letter; this will be provided separately from any Offer of Admission and will be subject to standard checks for eligibility and other criteria.
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