Mr Andrew Mitchell MMath

School of Mathematics
PhD Student

Contact details

Email
acm925@student.bham.ac.uk
Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Andrew Mitchell is a PhD student in the Topology and Dynamics Group.  His supervisors are Dr Dan Rust (Open University) and Dr Tony Samuel.

Qualifications

  • MMath in Mathemtics, University of St Andrews, 2018

Doctoral research

PhD title
Ergodic and geometric properties of random substitutions.
Supervisor
Dr Tony Samuel
Course
Pure Mathematics PhD

Research

Research Themes

  • Aperiodic order
  • Ergodic theory and dynamical systems
  • Fractal geometry and multifractal analysis
  • Applications of computational methods to problems in the above areas

Other activities

  • Awarded Associate Fellowship of Advance HE, June 2022.

Publications

  1. On word complexity and topological entropy of random substitution subshifts, arXiv:2305.04817, 14 pages.
  2. Multifractal analysis of measures arising from random substitutions, (with A. Rutar), arXiv:2301.04958, 49 pages.
  3. Coincidence and noncoincidence of dimensions in compact subsets of [0, 1], (with L. Olsen), arXiv:1812.09542, 18 pages.
  4. Measure theoretic entropy of random substitution subshifts, (with P. Gohlke, D. Rust and T. Samuel). Annales Henri Poincaré 24, (2023), 277-323.
  5. On the Hausdorff and packing measures of typical compact metric spaces, (with S. Jurina, N. Macgregor, L. Olsen and A. Stylianou). Aequationes Mathematicae 92, (2018), 709-735.