Working under Prof Georg Gottwald on chaotic dynamical systems, mostly using one-dimensional systems as a model. Mostly, I am developing spectral methods for transfer operators of one-dimensional systems, enabling fast and highly accurate estimation of statistical properties.

Publications

Wormell, J.P. Spectral Galerkin methods for transfer operators in uniformly expanding dynamics (2017).
Preprint

Gottwald G.A., Wormell, J.P. and Wouters, J.,
On spurious detection of linear response and misuse of the fluctuation-dissipation theorem in finite time series
Physica D331 (2016) 89-101. Preprint, DOI

Computer packages

Poltergeist.jl: Julia package for adaptive calculation of statistical properties of 1D maps via spectral methods.

Talks

Spectral methods for intermittent maps using Abel functions. Poster at Foundations of Computational Mathematics conference (2017).

Fast approximation techniques for intermittent maps. Poster at Advances in Ergodic Theory, Hyperbolic Dynamics and Statistical Laws (2017). Prize for best poster.