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. 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:

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.

Preprints:

Counting Beta Expansions and the Absolute Continuity of Bernoulli Convolutions

Work in Preparation:

A Natural Extension and an Invariant Density for the Random Beta-Transformation

Contact:

Tom Kempton
Mathematics Institute
Utrecht University
Budapestlaan 6
3584 CD Utrecht
The Netherlands
T.M.W.Kempton@uu.nl

Seminar

The website of the stochastics and numerics seminar can be found here.

Teaching

Information about the topics in dynamical systems course can be found here.