Publications
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). The baker's map with a convex hole. Nonlinearity, 31(7), 3174-3202. Retrieved from https://iopscience.iop.org/article/10.1088/1361-6544/aab595/pdf
. (2018). On (a,b) Pairs in Random Fibonacci Sequence. Journal of Number Theory, 190, 352-366. Retrieved from https://doi.org/10.1016/j.jnt.2018.03.002
. (2018). Local dimensions of measures of finite type II - Measures without full support and with non-regular probabilities. Canadian Journal of Mathematics, 70, 824-867. Retrieved from http://dx.doi.org/10.4153/CJM-2017-025-6
. (2018). A lower bound for the dimension of Bernoulli convolutions. Exp. Math., 27(4), 414-418. Retrieved from https://doi.org/10.1080/10586458.2017.1301841
. (2018). On the spectra of Pisot-cyclotomic numbers. Letters in Mathematical Physics, 108(7), 1729-1756. Retrieved from https://doi.org/10.1007/s11005-018-1053-4
. (2018). On a family of self-affine sets: topology, uniqueness, simultaneous expansions. Ergodic Theory Dynam. Systems, 37, 193-227. Retrieved from http://dx.doi.org/10.1017/etds.2015.41 maple_code_for_lemma_7.6.tex output_of_maple_code_for_lemma_7.6.tex
. (2017). Generalized continued logarithms and related continued fractions. J. Integer Seq., 20(17.5.7), 51. Retrieved from https://cs.uwaterloo.ca/journals/JIS/VOL20/Hare/hare5.html
. (2017). There are no two non-real conjugates of a Pisot number with the same imaginary part. Math. Comp., 86, 935-950. Retrieved from https://doi.org/10.1090/mcom/3103
. (2017). Growth degree classification for finitely generated semigroups of integer matrices. Semigroup Forum, 92, 23-44. Retrieved from http://link.springer.com/article/10.1007/s00233-015-9725-1
. (2016). Some properties of even moments of uniform random walks. INTEGERS: The Electronic Journal of Combinatorial Number Theory. Retrieved from http://www.integers-ejcnt.org/vol16.html
. (2016). Two-dimensional self-affine sets with interior points, and the set of uniqueness. Nonlinearity, 29, 1–26. Retrieved from http://dx.doi.org/10.1088/0951-7715/29/1/1
. (2016). Local dimensions of measures of finite type. J. Fractal Geom., 3, 331-376. Retrieved from https://ems.press/content/serial-article-files/37269
. (2016). Base-d expansions with digits 0 to q-1. Exp. Math., 24(3), 295–303. doi:10.1080/10586458.2014.990119
. (2015). Multidimensional self-affine sets: non-empty interior and the set of uniquenes. Studia Math., 229, 223-232. Retrieved from https://eudml.org/doc/285506
. (2015). On cycles for the doubling map which are disjoint from an interval. Monatsh. Math., 175(3), 347–365. doi:10.1007/s00605-014-0646-y
. (2014).