Coarse-graining dynamical systems

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• Dr Jonathan Rowe, Computer Science, U of Birmingham
• Thursday 24 March 2011, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Dr Dimitri M Gangardt.

Given a differentiable discrete-time dynamical system, we give necessary and sufficient conditions for there to exist a “coarse-graining” – that is, a map into a lower-dimensional system that respects the dynamics. These will be illustrated with applications to computational models of natural selection. In these examples, the reduced systems show “form invariance” in that they have the same equational form as the original system. The work is joint with Michael Vose (University of Tennessee, Knoxville) and Alden Wright (University of Montana). Analogous results for continuous time dynamical systems have been derived by Martin Jacobi (Chalmers University).

This talk is part of the Theoretical Physics Seminars series.

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