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John Smillie

Professor John Smillie

Professor John Smillie

Research Fellow

Interests and expertise (Subject groups)

Grants awarded

New directions in dynamical systems

Scheme: Wolfson Research Merit Awards

Organisation: University of Warwick

Dates: May 2015-Apr 2020

Value: £27,500

Summary: The study of the long term behaviour of simple systems is a central theme in the field of dynamical systems. Professor Smillie’s research involves two such systems: polygonal billiards and complex dynamics in two dimensions. Billiard trajectories in polygonal regions in the plane are easy to describe but the analysis of their long term behaviour leads to a range of interesting mathematical questions in seemingly unrelated areas of mathematics. One key tool is the idea of renormalisation, inspired by physics, in which one studies the effect of changing the time scale and the space scale. The field of one dimensional holomorphic dynamics has developed into a beautiful area of mathematics with beautiful connections between dynamics and fractal geometry. Professor Smillie is investigating holomorphic systems in higher dimensions and connections with potential theory.

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