Research objectives and content
The overall objective is to better understand the pure mathematics underlying universal phenomena in non-linear systems, and the particular target of the project is to develop and extend the theory of iterated correspondences on the Riemann sphere. With the aim of uniting and generalising the existing theories for rational maps and Kleinian groups. Training content (objective, benefit and expected impact)
The proposed research will involve both, development of pure mathematical theory (using techniques of complex analysis hyperbolic geometry and symbolic dynamics) and computer experimentation.
Links with industry / industrial relevance (22)
The research will lead to a better understanding of chaotic phenomena and the control of non-linear processes and therefore is of long-term interest to industry.