
Group Members
Staff

Collin Bleak
My research is in studying infinite groups of homeomorphisms via properties of their actions. In this study I employ tools from various fields including algebra, theoretical computer science, combinatorics, symbolic dynamical systems, and analysis.
Webpage.

Kenneth Falconer
My research centres around the geometry of fractals and multifractals, geometric measure theory, dimension theory, dynamical systems and probability. Specific topics include selfaffine sets and measures, sections and projections of fractals, random fractals and stochastic processes, and applications of fractals to other areas.
Webpage.

Jonathan Fraser
My research interests centre on fractal geometry and its connections with other areas of mathematics, such as: geometric measure theory, ergodic theory, Fourier analysis, and hyperbolic geometry. Particular topics include: selfaffine sets, selfsimilar sets with overlaps, limit sets of Kleinian groups, and Fourier transforms of random measures associated with Brownian motion. Webpage.

Tom Kempton
My research includes problems related to selfaffine sets, as well
as the ergodic theory of dynamical systems relating to expansions of real
numbers and in particular how properties of the random betatransformation
apply to Bernoulli convolutions.
Webpage.

James Mitchell
My main research concerns semigroup theory, combinatorics and topology,
including studying algebraic and combinatorial properties of functions
defined on topological spaces.
Webpage.

Lars Olsen
My research covers all aspects of fractal and multifractal geometry and
geometric measure theory,
including work on selfaffine sets and measures, fractal defined by digits
of numbers, typical structure of fractal sets and measures, etc.
Webpage.

Mike Todd
I work in ergodic theory and dynamical systems,
applying ideas from probability and thermodynamic formalism
to study expansion and recurrence properties of, mostly, smooth low dimensional systems.
Topics include Return Time Statistics, Extreme Value Theory, statistical stability,
equilibrium states, phase transitions and transience. Webpage.
Emeritus Staff

John McCabe
My research interests have generally been in rational approximation, and
pade approximation and the related continued fractions in particular. In
collaboration with others, mainly overseas and including my Ph.D
students, I have worked on strong moment problems.
Webpage.

George Phillips
Webpage.
Ph.D Students

Casey Donoven
Webpage.

Douglas Howroyd
I am currently interested in fractal geometry and dimension theory, notably the study of selfaffine sponges.

Nayab Khalid
Homeomorphisms of the cantor space.

Vuksan Mijovic
I am interested in multifractal analysis and dynamical systems.

Sascha Troscheit
My current interests include dimension theory, fractal geometry, geometric measure theory and symbolic
dynamical systems. I am currently working on selfaffine carpets, dimensional analysis of randomly generated
graph directed attractors, separation conditions and their interplay with 'fractal dimensions', and recurrence
in countable symbolic shift spaces. Other interests are differentiability and thermodynamic formalism,
specifically devil's staircases.
Webpage.

Han Yu
My research interest include dimension theory of fractal geometry, ergodic theory, dynamical systems and number theory.
Recent Staff
Recent Ph.D Students
