Donald Robertson

I am currently on a Neumann Fellowship in Pure Mathematics in the Department of Mathematics at the University of Manchester.

E-mail: donald dot robertson at manchester dot ac dot uk

Teaching

• Spring 2020: Math 42142 Analysis, Random Walks and Groups

Papers

• [arXiv] Disjointness for measurably distal group actions and applications (Joint with J. Moreira and F. K. Richter)
  Submitted
• [arXiv] Unique equilibrium states for some intermediate beta transformations (Joint with L. Carapezza and M. López)
  Submitted
• [arXiv] Uniform distribution of saddle connection lengths (Joint with J. Chaika)
  Journal of Modern Dynamics (2019) Volume 15, Pages 329-343
• [arXiv] A proof of the Erdős sumset conjecture (Joint with J. Moreira and F. K. Richter)
  Annals of Mathematics (2019) Volume 189, Issue 2, Pages 605–652
• [arXiv] Ergodicity of skew products over linearly recurrent IETs (Joint with J. Chaika)
  Journal of the London Mathematical Society (2019) Volume 100, Issue 1, Pages 223-248
• [arXiv] Mild mixing of certain interval exchange transformations
  Ergodic Theory and Dynamical Systems (2019) Volume 39, Issue 1, Pages 248-256
• [arXiv] Triangles in Cartesian squares of quasirandom groups (joint with V. Bergelson and P. Zorin-Kranich)
  Combinatorics, Probability and Computing (2017) Volume 26, Issue 2, Pages 161–182
• [arXiv] Polynomial multiple recurrence over rings of integers (joint with V. Bergelson)
  Ergodic Theory and Dynamical Systems (2016) Volume 36, Issue 5, Pages 1354-1378
• [arXiv] Polynomial recurrence with large intersection over countable fields (joint with V. Bergelson)
  Israel Journal of Mathematics (2016) Volume 214, Issue 1, Pages 109-120
• [arXiv] Finite products sets and minimally almost periodic groups (joint with V. Bergelson, C. Christopherson and P. Zorin-Kranich)
  Journal of Functional Analysis (2016) Volume 270, Issue 6, Pages 2126-2167
• [arXiv] Characteristic factors for commuting actions of amenable groups
  Journal d'Analyse (2016) Volume 129, Issue 1, Pages 165-196

Other things

• Visualizing a random walk