Analysis Research Group

Group Members

Kenneth Falconer

My research interests centre around the geometry of fractals and multifractals, geometric measure theory and dynamical systems. Specific topics include self-affine sets and measures, random fractals and fractal processes, pdes on fractals and applications of fractals to other areas. Webpage.
James Mitchell

Webpage.
Lars Olsen

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.
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.

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.

Xiong Jin

My research interests centre on multiplicative chaos theory and its related topics. I am also interested in studying the geometric properties of stochastic processes. Webpage.

Casey Donoven

I am currently exploring fractal and multifractal analysis for potential research interests. I am also involved in projects in semigroup theory and computational algebra.
Ábel Farkas

I am interested in fractal geometry and geometric measure theory. In particular, the dimension and measure of intersections and images of fractal sets.
Jonathan Fraser

I am interested in fractal and multifractal geometry. Particular topics include: self-affine sets and measures; random iterated function system constructions; and dimensional properties of generic fractal curves and surfaces. Webpage.
James Hyde

I am primarily an algebraist but am also interested in studying generic properties of fractals using notions such as 'Baire category' and 'prevalence'. Webpage.
Vuksan Mijovic

I am interested in multifractal analysis.