Dr Thomas Jordan
M.Sci.(St.And.), Ph.D.(Manc.)
Current positions
Senior Lecturer in Pure Mathematics
School of Mathematics
Contact
Press and media
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Research interests
My research focuses on dimension theory in dynamical systems. My interests include connections between multifractal analysis, large deviations and the thermodynamic formalism, self-similar and self-affine sets, non-conformal dynamical systems and Fourier transforms for invariant measures.
Projects and supervisions
Research projects
MSC Fellowship: Tuomas Sahlsten
Principal Investigator
Description
The aim of the project was to develop new tools in ergodic theory and dynamical systems, and explore applications to problems related to mathematical physics, geometry and arithmetics. We made…Managing organisational unit
School of MathematicsDates
01/09/2015 to 31/08/2017
Dimension theory of dynamically defined sets - A Ferguson fellowship.
Principal Investigator
Managing organisational unit
School of MathematicsDates
01/07/2011 to 01/07/2014
Thesis supervisions
Publications
Recent publications
01/02/2021Birkhoff spectrum for piecewise monotone interval maps
Fundamenta Mathematicae
Dimension of ergodic measures projected onto self-similar sets with overlap
Proceedings of the London Mathematical Society
Birkhoff and Lyapunov spectra on planar self-affine sets
International Mathematics Research Notices
Dimensions of equilibrium measures on a class of planar self-affine sets
Journal of Fractal Geometry
Stability and perturbations of countable Markov maps
Nonlinearity