Tom Kempton

Tom Kempton: Publications




From Lucca Tower

Publications and Preprints:

The following preprint versions of papers are not final, for finished versions follow the links to the websites of the relevant journals. Click here for my Google Scholar profile.

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, appeared here in Nonlinearity, 2021.

Intermediate Dimensions, with K. Falconer and J. Fraser, appeared here in Mathematische Zeitschrift 2019.

On the Hausdorff Dimension of Bernoulli Convolutions, with S. Akiyama, D.J. Feng and T. Persson, appeared here in International Math. Res. Notices, 2018.

On the L^q Dimensions of Measures on Hueter-Lalley Type Self-Affine Sets, with J. Fraser, appeared here in Proc. AMS.

The Dimension of Projections of Self- Affine Sets and Measures, with K. Falconer, appeared here in Annales Academiae Scientiarum Fennicae, 2017.

The Random Continued Fraction Transformation, with C. Kalle and E. Verbitskiy, appeared here 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, appeared here in ETDS, 2016 .

Sets of beta-expansions and the Hausdorff Measure of Slices through Fractals, appeared here in the Journal of the European Mathematical Society, 2016 .

Bernoulli Convolutions and 1D Dynamics, with T. Persson, appeared here in Nonlinearity, 2015 .

Self-Affine Sets with Positive Lebesgue Measure (with K. Dajani and K. Jiang), Indag. Math 2014.

Digit Frequencies and Bernoulli Convolutions, Indag. Math 2014.

On The Invariant Density of the Random Beta- Transformation, appeared here in Acta Mathematica Hungarica, 2013.

Counting Beta Expansions and the Absolute Continuity of Bernoulli Convolutions appeared here in Monatshefte für Mathematik, 2013.

Thermodynamic Formalism for Suspension Flows over Countable Markov Shifts, appeared here in Nonlinearity, 2011.

Zero Temperature Limits of Gibbs Equilibrium States for Countable Markov Shifts, appeared here in the Journal of Statistical Physics, 2011.

Factors of Gibbs Measures for Subshifts of Finite Type, appeared here in the Bulletin of the London Mathematical Society, 2011.

Factors of Gibbs Measures for Full Shifts, (with M. Pollicott), appeared in the proceedings of the BIRS Workshop on Hidden Markov Processes, 2011.