I am a final year PhD student under the supervision of Professor Mark Pollicott. My area of study lies within the intersection of Ergodic Theory and Dynamical Systems. Currently we are working on constructing Gibbs measures for families of diffeomorphisms (e.g. uniformly/partially hyperbolic attracting diffeomorphisms) using averaged pushforwards of measures supported on a small piece of unstable manifold.

Previously, I completed my MMath at Warwick. My 4th year project was supervised by Professor Pollicott titled 'Entropy in Ergodic Theory' focusing on entropy and repetition times.

Articles and Preprints

1. Gibbs measures for hyperbolic attractors defined by densities, with M. Pollicott, Discrete and Continuous Dynamical Systems 42, (2022) 3953-3977
2. Constructing equilibrium states for some partially hyperbolic attractors via densities, with M. Pollicott, 2022, arXiv:2210.10701

Teaching

• University of Warwick, 2020-2021, MA241 Combinatorics, Teaching Assistant

• University of Warwick, 2019-2020 and 2021-present, MA3J2 Combinatorics II, Teaching Assistant
• University of Warwick, 2018-present, Supervisor for 1st year Mathematics undergraduates.

Contact

Please contact me via d.parmenter@warwick.ac.uk