I am a PhD student at UNSW, Sydney, working under the supervision of Gary Froyland.
My research is concerned with the statistical properties of autonomous and non-autonomous dynamical systems, and, in particular, how such properties behave under perturbations (e.g. to the dynamical system, or as a result of numeric approximation). I am interested in how these questions may be answered using functional analytic and spectral methods.
- Fourier approximation of the statistical properties on Anosov maps on tori
H. Crimmins and G. Froyland. Submitted, 2019. Submitted version
- Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps.
H. Crimmins and G. Froyland. Annales Henri Poincaré 20:3113–3161, 2019. Submitted version
- UNSW School of Mathematics and Statistics Postgraduate Conference, August 2019
I presented a talk on the approximation of statistical properties of Anosov maps using Fourier analytic techniques, and recieved an honourable mention for the best talk by an applied mathematics PhD student.
- Institut de Mathématiques de Bordeaux (IMB), October 2018
I gave two (related) talks while visiting IMB. The first was for the working group, and was an introduction to the functional analytic approach to the study of statistical properties of dynamical systems. The second was a seminar on the stability of said statistical properties, and was an expanded version of my previous talks.
- Dynamics Days Europe, Loughborough, September 2018
I presented the same talk as at the AustMS Annual Meeting.
- UNSW School of Mathematics and Statistics Postgraduate Conference, June 2018
I presented the same talk as at the AustMS Annual Meeting, and was awarded a prize for the best talk by an applied mathematics PhD student.
- AustMS Annual Meeting, December 2017
In the Dynamical Systems and Ergodic Theory Special Session I presented a talk entitled ‘Stability of statistical properties for some dynamical systems’, for which I received an honourable mention for the Bernhard Neumann prize for most outstanding talk by a student.