Publications
Self-similar sets and self-similar measures in the $p$-adics. Retrieved from http://arxiv.org/abs/2307.07375
. (Submitted). Self-similar measures with unusual local dimension properties. Retrieved from https://arxiv.org/abs/2201.12196
. (Submitted). The Minkowski sum of linear Cantor sets. Acta Arithmetica. Retrieved from https://arxiv.org/abs/2210.07671 table.txt
. (Accepted). Generalised Fibonacci sequences constructed from balanced words. Journal of Number Theory, 231, 349--377. Retrieved from https://doi.org/10.1016/j.jnt.2021.05.008
. (2022). Applications of Integer and Semi-Infinite Programming to the Integer Chebyshev Problem. Experimental Mathematics, 2, 694--700. Retrieved from https://doi.org/10.1080/10586458.2019.1691089 Code_DataFiles.tar
. (2022). On a family of self-affine IFS whose attractors have non-fractal top. Fractals, 29(6). Retrieved from https:///dx.doi.org/10.1142/S0218348X21501590 g_data.tex ros_data.txt
. (2021). Conjugates of Pisot numbers. Int. J. Number Theory, 17(6), 1307--1321. Retrieved from https://dx.doi.org/10.1142/S1793042121500378
. (2021). When the Weak Separation Condition implies the Generalized Finite Type Condition. Proc. AMS, 149(4), 1555--1568. Retrieved from https://doi.org/10.1090/proc/15307
. (2021). Computing Garsia Entropy for Bernoulli Convolutions with Algebraic Parameters. Nonlinearity, 34(7), 4744--4763. Retrieved from https://iopscience.iop.org/article/10.1088/1361-6544/abf849/pdf
. (2021). On Newman and Littlewood polynomials with prescribed number of zeros inside the unit disk. Math of Computation, 90(328), 831--870. Retrieved from https://doi.org/10.1090/mcom/3570
. (2021). The Lq-spectrum for a class of self-similar measures with overlap. Asian Journal of Mathematics, 25(2), 195--228. Retrieved from https://dx.doi.org/10.4310/AJM.2021.v25.n2.a3
. (2021). Intermediate Assouad-like dimensions for measures. Fractals, 28(7). Retrieved from https://doi.org/10.1142/S0218348X20501431
. (2020). Quasi-doubling of self-similar measures with overlaps. Journal of Fractal Geometry, 7(3), 233-270. Retrieved from https://doi.org/10.4171/JFG/91
. (2020). The Entropy of Cantor--like measures. Acta Math. Hungar.. Retrieved from https://doi.org/10.1007/s10474-019-00962-1
. (2019). Local dimensions of overlapping self-similar measures. Real Analysis Exchange, 44(2), 247--265. Retrieved from https://doi.org/10.14321/realanalexch.44.2.0247
. (2019). Local dimensions of measures of finite type on the torus. Asian Journal of Mathematics, 23(1), 127--156. Retrieved from https://dx.doi.org/10.4310/AJM.2019.v23.n1.a7
. (2019). Most Reinhardt polygons are sporadic. Geometriae Dedicata, 198(1), 1--18. Retrieved from https://doi.org/10.1007/s10711-018-0326-5
. (2019). Local dimensions of random homogeneous self-similar measures: strong separation and finite type. Mathematische Nachrichten, 291(16), 2397-2426. Retrieved from http://dx.doi.org/10.1002/mana.201700466
. (2018). Open maps: small and large holes with unusual properties. Discrete and Continuous Dynamical Systems, 38(11), 5883--5895. Retrieved from http://aimsciences.org/article/doi/10.3934/dcds.2018255
. (2018). Local dimensions of measures of finite type III - Measures that are not equicontractive. Journal of Mathematical Analysis and Applications, 458(2), 1653-1677. Retrieved from https://doi.org/10.1016/j.jmaa.2017.10.037
. (2018).