School of Mathematical Sciences
University College Dublin
Belfield, Dublin 4
Research Interests :
Quantization. Dynamical systems (Ergodic theory, Symbolic dynamics). Fractal geometry. Multifractal analysis. Dimension theory. Fourier analysis.
Asymptotic of the geometric mean error in the quantization of recurrent self-similar measures
(with M. Roychowdhury ), J. Math. Anal. Appl. 431 (2015), 737-751.
Embedding the symbolic dynamics of Lorenz maps
(with T. Samuel and A. Vince ), Math. Proc. Cambridge Philos. Soc. 156
preprint at ArXiv.
Teichmuller space for iterated function systems
(with M. Hille), Conform. Geom. Dyn. 16 (2012), 132-160.
Divergence points and normal numbers
(with A. Bisbas), Monatsh. Math 166 (2012), 341-356.
Inhomogeneous self-similar sets and measures
Ph.D. thesis , Universty of St. Andrews, 2008.
Multifractal spectra of in-homogenous self-similar measures
(with L. Olsen), Indiana U. Math. J. 57 (2008),
In-homogenous self-similar measures and their Fourier transforms
(with L. Olsen), Math. Proc. Cambridge Philos. Soc. 144 (2008),
Divergence points of self-similar measures and packing dimension
(with I.S. Baek and L. Olsen),
Advances in Mathematics, 214 (2007),
- Lq spectra
in-homogeneous self-similar measures
(with L. Olsen),
Nonlinearity, 20 (2007), 151-175.
MATH40460 (Semester 1 2014/2015)
Course material for
MST30050 (Semester 1 2014/2015)
MATH20180 (Semester 2 2014/2015)
MATH10240 (Semester 2 2014/2015)
is available on Blackboard.
Last updated July 7, 2015.