Tom Kempton

About Me:

I'm a postdoc working with Karma Dajani in the mathematics department of the University of Utrecht. Currently I'm researching the ergodic theory of some dynamical systems relating to expansions of real numbers. In particular I'm interested in 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 professor Mark Pollicott. My thesis was on thermodynamic formalism for symbolic dynamical systems.

I am funded by the Dutch Organisation for Scientific Research (NWO).

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.

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 to appear in Monatshefte für Mathematik
Digit Frequencies and Bernoulli Convolutions, submitted 2013.
On The Invariant Density of the Random Beta-Transformation, submitted 2013.

Work in Preparation:

On the Hausdorff measure of slices through self similar sets
On the Lebesgue Measure of some self affine fractals (with K. Dajani and K. Jiang)

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:

This year the Utrecht stochastics seminar is 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
T.M.W.Kempton@uu.nl
Office Phone: 0031 302532303