Publications

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[ Author(Desc)] Title Type Year
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Hare, K. G. , & Sidorov, N. . (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
Hare, K. E. , Hare, K. G. , & Simms, G. . (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
Hare, K. G. , & Saunders, J. C. . (2018). On (a,b) Pairs in Random Fibonacci Sequence. Journal of Number Theory, 190, 352-366. Retrieved from https://arxiv.org/abs/1608.03522
Hare, K. E. , Hare, K. G. , & Ng, M. K. S. . (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
Hare, K. G. , & Sidorov, N. . (2018). A lower bound for the dimension of Bernoulli convolutions. Exp. Math., 27(4), 414-418. Retrieved from http://arxiv.org/abs/1609.02131
Hare, K. G. , Masáková, Z. , & Vávra, T. . (2018). On the spectra of Pisot-cyclotomic numbers. Letters in Mathematical Physics, 108(7), 1729-1756. Retrieved from https://arxiv.org/abs/1612.09285
Hare, K. G. , & Sidorov, N. . (2017). 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
Hare, K. G. , & McKay, G. . (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
Hare, K. G. , & Sidorov, N. . (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
Hare, K. E. , Hare, K. G. , & Matthews, K. R. . (2016). Local dimensions of measures of finite type. J. Fractal Geom., 3, 331-376. Retrieved from http://arxiv.org/abs/1504.00510
Hare, K. G. . (2015). Base-d expansions with digits 0 to q-1. Exp. Math., 24(3), 295–303. doi:10.1080/10586458.2014.990119
Hare, K. G. , & Sidorov, N. . (2015). 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
Hare, K. G. , & Sidorov, N. . (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
Hare, K. G. , & Mossinghoff, M. J. . (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
Hare, K. G. , Prodinger, H. , & Shallit, J. . (2014). Three series for the generalized golden mean. Fibonacci Quart., 52(4), 307–313. Retrieved from http://arxiv.org/abs/1401.6200
Hare, K. G. , Morris, I. D. , & Sidorov, N. . (2013). Extremal sequences of polynomial complexity. Math. Proc. Cambridge Philos. Soc., 155(2), 191–205. doi:10.1017/S0305004113000157
Hare, K. G. , & Panju, M. . (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
Hare, K. G. , & Mossinghoff, M. J. . (2013). Sporadic Reinhardt polygons. Discrete Comput. Geom., 49(3), 540–557. doi:10.1007/s00454-012-9479-4
Hare, K. G. , Morris, I. D. , Sidorov, N. , & Theys, J. . (2011). An explicit counterexample to the Lagarias-Wang finiteness conjecture. Adv. Math., 226(6), 4667–4701. doi:10.1016/j.aim.2010.12.012
Hare, K. G. . (2011). Generalized Gorshkov-Wirsing polynomials and the integer Chebyshev problem. Exp. Math., 20(2), 189–200. doi:10.1080/10586458.2011.564545 p14_gw_data.tar.gz p14_gw.tar.gz

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