# Dr Andrew Mitchell MMath PhD

## In 'Staff and Students'

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Research Fellow

## Contact details

- 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

- Rauzy fractals of random substitutions (with P. Gohlke, D. Rust and T. Samuel), 30 pages.
- Coincidence and noncoincidence of dimensions in compact subsets of [0,1] (with L. Olsen), 18 pages.

### 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.