Tom Kempton

Tom Kempton

From Lucca Tower I'm a postdoc at the University of St Andrews working with Kenneth Falconer on various problems relating to self-affine sets. This position is funded by the EPSRC.

Previously I worked with Karma Dajani at the University of Utrecht. The main focus of my research there was the ergodic theory of dynamical systems relating to expansions of real numbers. In particular, I looked at how properties of the random beta-transformation can be used in the discussion of Bernoulli convolutions.

I completed my PhD at the University of Warwick in March 2011 under the supervision of Mark Pollicott. My thesis was on thermodynamic formalism for symbolic dynamical systems.

Publications and Preprints:

The following preprint versions of papers are not final, for finished versions follow the links to the websites of the relevant journals. Click here for my Google Scholar profile.

Factors of Gibbs Measures for Full Shifts, (with M. Pollicott), appeared in the proceedings of the BIRS Workshop on Hidden Markov Processes, 2011.
Factors of Gibbs Measures for Subshifts of Finite Type, appeared here in the Bulletin of the London Mathematical Society, 2011.
Zero Temperature Limits of Gibbs Equilibrium States for Countable Markov Shifts, appeared here in the Journal of Statistical Physics, 2011.
Thermodynamic Formalism for Suspension Flows over Countable Markov Shifts, appeared here in Nonlinearity, 2011.
Counting Beta Expansions and the Absolute Continuity of Bernoulli Convolutions appeared here in Monatshefte für Mathematik, 2013.
Digit Frequencies and Bernoulli Convolutions, submitted 2013.
On The Invariant Density of the Random Beta-Transformation, appeared here in Acta Mathematica Hungarica, 2013.
Sets of beta-expansions and the Hausdorff Measure of Slices through Fractals, to appear in the Journal of the European Mathematical Society.
Self-Affine Sets with Positive Lebesgue Measure (with K. Dajani and K. Jiang), submitted 2013.

Numbers in Ergodic Theory:

Together with Charlene Kalle I am organising a series of one day meetings on Ergodic theory. These are supported by grants from the NWO and from the STAR cluster.

Seminars & Teaching:

In 2013 I taught the course Ergodic Theory, which is part of the masters program at Utrecht and also part of the Stochastics and Financial Mathematics masters. For details, please see the course page.

The Utrecht stochastics seminar is currently organised by Tobias Müller, the website can be found here

In the academic year 2011-2012 I organised the Stochastics and Numerics seminar together with Inan Ates, details of the seminar can be found here.

I also gave a masters course on topics in dynamical systems, information about the course including some material can be found here.

Travel Plans:

Here is a list of upcoming conferences which I think sound interesting.
Tom Kempton
Mathematics Institute
Utrecht University
Budapestlaan 6
3584 CD Utrecht, The Netherlands
Office Phone: 0031 302532303