Publications

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Author Title Type [ Year(Desc)]
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
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
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
2019
Hare, K. E. , Hare, K. G. , Morris, B. P. M. , & Shen, W. . (2019). The Entropy of Cantor--like measures. Acta Math. Hungar.. Retrieved from https://doi.org/10.1007/s10474-019-00962-1
Hare, K. E. , & Hare, K. G. . (2019). Local dimensions of overlapping self-similar measures. Real Analysis Exchange, 44(2), 247--265. Retrieved from https://doi.org/10.14321/realanalexch.44.2.0247
Fraser, J. M. , Hare, K. E. , Hare, K. G. , Troscheit, S. , & Yu, H. . (2019). The Assouad spectrum and the quasi-Assouad dimension: a tale of two spectra. Annales Academiæ Scientiarum Fennicæ Mathematica, 24(1), 379--387. Retrieved from http://arxiv.org/abs/1804.09607

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