Publications
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). On the spectra of Pisot-cyclotomic numbers. Letters in Mathematical Physics, 108(7), 1729-1756. Retrieved from https://arxiv.org/abs/1612.09285
. (2018). A lower bound for the dimension of Bernoulli convolutions. Exp. Math., 27(4), 414-418. Retrieved from http://arxiv.org/abs/1609.02131
. (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). On (a,b) Pairs in Random Fibonacci Sequence. Journal of Number Theory, 190, 352-366. Retrieved from https://arxiv.org/abs/1608.03522
. (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). 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). 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). Local dimensions of measures of finite type. J. Fractal Geom., 3, 331-376. Retrieved from http://arxiv.org/abs/1504.00510
. (2016). Multidimensional self-affine sets: non-empty interior and the set of uniquenes. Studia Math., 229, 223-232. Retrieved from http://arxiv.org/abs/1506.08714
. (2015). Base-d expansions with digits 0 to q-1. Exp. Math., 24(3), 295–303. doi:10.1080/10586458.2014.990119
. (2015). Three series for the generalized golden mean. Fibonacci Quart., 52(4), 307–313. Retrieved from http://arxiv.org/abs/1401.6200
. (2014). Negative Pisot and Salem numbers as roots of Newman polynomials. Rocky Mountain J. Math., 44(1), 113–138. doi:10.1216/RMJ-2014-44-1-113
. (2014). 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). . (2013). Some comments on Garsia numbers. Math. Comp., 82(282), 1197–1221. doi:10.1090/S0025-5718-2012-02636-6 garsiadatadegree40.txt.gz garsiasearch_0.java_.gz
. (2013). Extremal sequences of polynomial complexity. Math. Proc. Cambridge Philos. Soc., 155(2), 191–205. doi:10.1017/S0305004113000157
. (2013). The sum of digits of n and n2. Int. J. Number Theory, 7(7), 1737–1752. doi:10.1142/S1793042111004319
. (2011).