Mathematics Research

Local dimension spectrum for dominated planar self-affine sets

With A. Batsis and A. Kaenmaki. Published in Mathematische Zeitschrift, 2026.

The Dynamics of the Fibonacci Partition Function

Preprint, 2023.

Towards Absolutely Continuous Bernoulli Convolutions

With A. Batsis. Preprint, 2021.

Measures on the Spectra of Algebraic Integers

With A. Batsis. Preprint, 2021.

Computing Garsia Entropy for Bernoulli Convolutions with Algebraic Parameters

With K. Hare, N. Sidorov and T. Persson. Published in Nonlinearity, 2021.

Intermediate Dimensions

With K. Falconer and J. Fraser. Published in Mathematische Zeitschrift, 2019.

On the Hausdorff Dimension of Bernoulli Convolutions

With S. Akiyama, D. J. Feng and T. Persson. Published in International Mathematics Research Notices, 2018.

On the L^q Dimensions of Measures on Hueter-Lalley Type Self-Affine Sets

With J. Fraser. Published in Proceedings of the AMS.

The Dimension of Projections of Self-Affine Sets and Measures

With K. Falconer. Published in Annales Academiae Scientiarum Fennicae, 2017.

The Random Continued Fraction Transformation

With C. Kalle and E. Verbitskiy. Published in Nonlinearity, 2017.

The Scenery Flow for Self-Affine Measures

Preprint, 2015.

Planar Self-Affine Sets with Equal Hausdorff, Box and Affinity Dimensions

With K. Falconer. Published in Ergodic Theory and Dynamical Systems, 2016.

Sets of Beta-Expansions and the Hausdorff Measure of Slices through Fractals

Published in the Journal of the European Mathematical Society, 2016.

Bernoulli Convolutions and 1D Dynamics

With T. Persson. Published in Nonlinearity, 2015.

Self-Affine Sets with Positive Lebesgue Measure

With K. Dajani and K. Jiang. Indagationes Mathematicae, 2014.

Digit Frequencies and Bernoulli Convolutions

Indagationes Mathematicae, 2014.

On the Invariant Density of the Random Beta-Transformation

Published in Acta Mathematica Hungarica, 2013.

Counting Beta Expansions and the Absolute Continuity of Bernoulli Convolutions

Published in Monatshefte fur Mathematik, 2013.

Thermodynamic Formalism for Suspension Flows over Countable Markov Shifts

Published in Nonlinearity, 2011.

Zero Temperature Limits of Gibbs Equilibrium States for Countable Markov Shifts

Published in the Journal of Statistical Physics, 2011.

Factors of Gibbs Measures for Subshifts of Finite Type

Published in the Bulletin of the London Mathematical Society, 2011.

Factors of Gibbs Measures for Full Shifts

With M. Pollicott. Proceedings of the BIRS Workshop on Hidden Markov Processes, 2011.