Publications
Self-similar measures with unusual local dimension properties. Retrieved from https://arxiv.org/abs/2201.12196
. (Submitted). Self-similar sets and self-similar measures in the $p$-adics. Retrieved from http://arxiv.org/abs/2307.07375
. (Submitted). 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). Some computations on the spectra of Pisot and Salem numbers. Math. Comp., 71(238), 767–780. doi:10.1090/S0025-5718-01-01336-9
. (2002). 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). On the spectra of Pisot-cyclotomic numbers. Letters in Mathematical Physics, 108(7), 1729-1756. Retrieved from https://arxiv.org/abs/1612.09285
. (2018). . (2013). Stolarsky’s conjecture and the sum of digits of polynomial values. Proc. Amer. Math. Soc., 139(1), 39–49. doi:10.1090/S0002-9939-2010-10591-9
. (2011). The structure of the spectra of Pisot numbers. J. Number Theory, 105(2), 262–274. doi:10.1016/j.jnt.2003.10.001 p12_gaps.gz
. (2004). The sum of digits of n and n2. Int. J. Number Theory, 7(7), 1737–1752. doi:10.1142/S1793042111004319
. (2011). 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). Three series for the generalized golden mean. Fibonacci Quart., 52(4), 307–313. Retrieved from http://arxiv.org/abs/1401.6200
. (2014). Tiles in quasicrystals with quartic irrationality. Math. Comp., 78(265), 405–420. doi:10.1090/S0025-5718-08-02137-6
. (2009). 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). On univoque Pisot numbers. Math. Comp., 76(259), 1639–1660 (electronic). doi:10.1090/S0025-5718-07-01961-8
. (2007). 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). . (2009).