Dr Andrew Mitchell MMath PhD

Dr Andrew Mitchell

School of Mathematics
Research Fellow

Contact details

Email
a.c.mitchell@bham.ac.uk
Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Andrew is a Research Fellow in the Topology and Dynamics group, working with Dr Tony Samuel. His main research interests lie in aperiodic order, ergodic theory and fractal geometry. He is also interested in connections between these fields and other areas of mathematics and science, such as structural properties of quasicrystals and complexity of natural phenomena. Andrew's research is supported by EPSRC grant EP/Y023358/1.

Qualifications

Qualifications

  • MMath in Mathematics, University of St Andrews, 2018
  • PhD in Pure Mathematics, University of Birmingham, 2023
  • Associate Fellowship of Advance HE, 2022

Research

Research themes

  • Aperiodic order
  • Ergodic theory and dynamical systems
  • Fractal geometry and multifractal analysis
  • Connections between these fields and other areas of mathematics and science

Publications

Pre-prints

Articles in print

  • On word complexity and topological entropy of random substitution subshifts, to appear in Proceedings of the American Mathematical Society, 14 pages.
  • Multifractal analysis of measures arising from random substitutions, (with A. Rutar), to appear in Communications in Mathematical Physics, 44 pages.
  • Measure theoretic entropy of random substitution subshifts, (with P. Gohlke, D. Rust and T. Samuel). Annales Henri Poincaré 24, (2023), 277-323.
  • 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.