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Author Title Type [ Year(Asc)]
2018
Hare, K. E. , Hare, K. G. , & Troscheit, S. . (2018). 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
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
Clark, L. , Hare, K. G. , & Sidorov, N. . (2018). The baker's map with a convex hole. Nonlinearity, 31(7), 3174-3202. Retrieved from https://arxiv.org/abs/1705.00698
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
2017
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
Borwein, J. M. , Hare, K. G. , & Lynch, J. G. . (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
Dubickas, A. , Jankauskas, J. , & Hare, K. G. . (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
2016
Bell, J. P. , Coons, M. , & Hare, K. G. . (2016). 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
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
2015
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
2014
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
Bell, J. P. , Coons, M. , & Hare, K. G. . (2014). The minimal growth of a k-regular sequence. Bull. Aust. Math. Soc., 90(2), 195–203. doi:10.1017/S0004972714000197
Chan, D. H. - Y. , & Hare, K. G. . (2014). A multi-dimensional analogue of Cobham’s theorem for fractals. Proc. Amer. Math. Soc., 142(2), 449–456. doi:10.1090/S0002-9939-2013-11843-5

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