Education

MSci Pure Mathematics

University of St. Andrews (2002)

PhD Mathematics

University of Manchester (2005)

Honours

Publications

Hausdorff dimension for randomly perturbed self-affine attractors (2007)
Thomas Jordan, Mark Pollicott and Karoly Simon
Communications in Mathematical Physics vol: 270 , Issue: no. 2 , Pages: 519 - 544
URL provided by the author

Multifractal analysis of non-uniformly hyperbolic systems (2010)
Anders Johansson, Thomas Jordan, Anders Oberg, Mark Pollicott
Israel J. Math. vol: 177 , Pages: 125 - 144

Full list of publications

Research Interests

The study of dimension theory in dynamical systems. While this is fairly well understood for conformal-hyperbolic dynamical systems much less is currently known in more general settings. I am interested in developing this theory in the non-conformal and non-uniformly hyperbolic settings. The main techniques involved are from ergodic theory and geometric measure theory.

Research Themes

• Ergodic Theory and Dynamical Systems