Mr Andrew Mitchell MMath

School of Mathematics
PhD Student

Contact details

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. Coincidence and noncoincidence of dimensions in compact subsets of [0, 1], (with L. Olsen), arXiv:1812.09542, 18 pages.

  2. Measure theoretic entropy of random substitution subshifts, (with P. Gohlke, D. Rust and T. Samuel). Annales Henri Poincaré, to appear, 47 pages.

  3. 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.