Ph.D. Studentships at Loughborough
Ph.D. Studentships at Loughborough University
*Title: ***Rare Events in Dynamical Systems via Transfer Operator Techniques
Supervisor: Wael Bahsoun (W.Bahsoun@lboro.ac.uk; phone +44-15-09-222883).
Nature of work: Theory
Area: Mathematics: Ergodic Theory and Dynamical Systems
Brief description: The study of rare events in dynamical systems is currently one of the most active branches of research in ergodic theory. In part, this is due to their interesting applications in earth and ocean sciences. An example of a rare event in dynamical systems appears in the study of ‘open’ systems where orbits infrequently escape from the domain, typically by falling into a small “hole” in the phase space. The goal of the project is to use spectral techniques (via the so called Perron-Frobenius operator) to approximate escape rates in open systems and to compute the Hausdorff dimension of survival sets.
