Two PhD Studentships in Ergodic Theory and connections with Stochasticity
For students with a background, or interest in, one or more of ergodic theory, probability theory, or stochastic analysis. There are a number of subtopics related to the two main areas below that can be tailored to these interests.
1. Deterministic systems (chaotic maps or ODEs) with more than one time scale can lead to limiting systems that are stochastic differential equations. These can be driven by Brownian motion or by a Lévy process.
2. Diffusion and anomalous diffusion in spatially-extended systems.
(From an ergodic theory point of view, spatially-extended = compact group extension with a restricted class of observables.)
Each studentship will pay a stipend for 4 years (subject to candidate making good progress and meeting some standard requirements). It also provides funding for travel to conferences.
Although there is no deadline, it is advised to submit your application as soon as possible so that it receives full consideration.
More information: http://homepages.warwick.ac.uk/~maslaq/studentships.html