Thomas Jordan's Home Page
What I'm Doing
I am a lecturer in the ergodic theory group in the maths department at the University of
Bristol. I was previously a research assistant at Warwick University. I did my
PhD with Mark Pollicott .
A copy of my thesis can be found
here (warning 10 mb).
Currently my main area of research is in the dimension theory of dynamical
systems and in particular the properties of self-similar sets.
Teaching
Here is my teaching page.
Preprints
Dimension of fat
Sierpinski gaskets (Appeared in 'Real Analysis Exchange' 31 (2005/06), no.1,
97-110).
Measures
supported on fat Sierpinski carpets (Joint with Mark Pollicott. Appeared in
'Ergodic Theory and Dynamical Systems 'This paper also has an appendix.
Appendix: Positive measure
self-similar sets without interior (Joint with Marianna Csornyei, Mark
Pollicott, David Preiss and Boris Solomyak. Also appeared in 'Ergodic Theory and
Dynamical Systems'.)
Multifractal analysis
and the variance of Gibbs measures (joint with Mark Pollicott. Appeared in
'The Journal of the LMS').
Hausdorff dimension for
randomly perturbed self affine attractors (joint with Mark Pollicott and
Karoly Simon. Appeared in 'Communications in Mathematical Physics').
The Hausdorff dimension of
measures for iterated function systems which contract on average (joint with
Mark Pollicott. Appeared in 'Discrete and Continuous Dynamical systems').
Multifractal
analysis for Birkhoff averages for some self-affine iterated function system
(joint with Karoly Simon. Appeared in 'Dynamical systems; an International
Journal').
My more recent papers can be viewed
here on
Arxiv.
Mathematical Links
Mathscinet
Warwick
dynamical systems seminar.
LMS
Conferences
in dynamical systems.
St. Andrews site on the
history of Mathematics.
A workshop on dynamical
systems for graduate students at Warwick.
A one day ergodic
theory meeting at Warwick on June 18th.
A
Conference on dynamical systems at Warwick, August 2007.
Other Links
Train times
BBC
The Guardian