Nina Snigireva
Lecturer

School of Mathematical Sciences
University College Dublin
Belfield, Dublin 4
Ireland

Telephone: 00353-1-716-2502
 

email: firstname[dot]surname[at]ucd[dot]ie

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 (2014), 505-519.
  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), 1789-1844.

• In-homogenous self-similar measures and their Fourier transforms
  (with L. Olsen), Math. Proc. Cambridge Philos. Soc. 144 (2008), 465-493.

• Divergence points of self-similar measures and packing dimension
  (with I.S. Baek and L. Olsen), Advances in Mathematics, 214 (2007), 267-287.

• L^q spectra and Renyi dimensions of in-homogeneous self-similar measures
  (with L. Olsen), Nonlinearity, 20 (2007), 151-175.