I’m an Associate Professor in the Department of Applied Mathematics at the University of Leeds, UK. My serious research interests are dynamical systems, mixing, applications of ergodic theory, piecewise isometries, and lots of related things. I’m also excited by mathematics in other places, in particular in music, and in paper modelling.
Recent papers
- Lyapunov exponents for the random product of two shears, with Jean-Luc Thiffeault, submitted to Journal of Nonlinear Science.
- Deceleration of one-dimensional mixing by discontinuous mappings, with Hannah Kreczak and Mark Wilson, Physical Review E 96, 053112, 2017.
- Frontiers of chaotic advection, Reviews of Modern Physics, 89, 025007, 2017 [PDF] from arxiv.org
- A Study in Three-Dimensional Chaotic Dynamics: Granular Flow and Transport in a Bi-Axial Spherical Tumbler, with Ivan Christov, Rich Lueptow, Julio Ottino, SIAM Journal on Applied Dynamical Systems, 13, 2, 901-943 (2014), [PDF] from arxiv.org
Recent talks
- Bounds for (generalised) Lyapunov exponents for deterministic and random products of shears, Applied & Computational Mathematics seminar, 15 March 2017
University of Edinburgh - Mixing rates for deterministic and random products of shears, SUSTC, Shenzhen Seminar, 22 November 2016
- Bounds for (generalised) Lyapunov exponents for random products of shears, AIMS, Orlando, 3 July 2016