Publications

Search
Author [ Title(Desc)] Type Year
A
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. G. , & Hodges, P. W. . (2022). Applications of Integer and Semi-Infinite Programming to the Integer Chebyshev Problem. Experimental Mathematics, 2, 694--700. Retrieved from https://doi.org/10.1080/10586458.2019.1691089 Code_DataFiles.tar
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
B
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. . (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. , & Tweedle, D. . (2008). Beta-expansions for infinite families of Pisot and Salem numbers. J. Number Theory, 128(9), 2756–2765. doi:10.1016/j.jnt.2008.02.010
Hare, K. G. . (2007). Beta-expansions of Pisot and Salem numbers. In Computer algebra 2006 (pp. 67–84). World Sci. Publ., Hackensack, NJ. doi:10.1142/9789812778857_0005 p24_beta.tar.gz
C
Bell, J. P. , & Hare, K. G. . (2005). A classification of (some) Pisot-cyclotomic numbers. J. Number Theory, 115(2), 215–229. doi:10.1016/j.jnt.2004.11.009
Garth, D. , & Hare, K. G. . (2006). Comments on the spectra of Pisot numbers. J. Number Theory, 121(2), 187–203. doi:10.1016/j.jnt.2006.02.003
Hare, K. G. . (Submitted). Computational progress on the unfair 0-1 polynomial Conjecture. Retrieved from http://arxiv.org/abs/2307.07363
Hare, K. G. , Kempton, T. , Persson, T. , & Sidorov, N. . (2021). Computing Garsia Entropy for Bernoulli Convolutions with Algebraic Parameters. Nonlinearity, 34(7), 4744--4763. Retrieved from https://iopscience.iop.org/article/10.1088/1361-6544/abf849/pdf
Hare, K. G. , & Sidorov, N. . (2021). Conjugates of Pisot numbers. Int. J. Number Theory, 17(6), 1307--1321. Retrieved from https://dx.doi.org/10.1142/S1793042121500378
Bell, J. P. , & Hare, K. G. . (2012). Corrigendum to ‘‘On Z-modules of algebraic integers’’ [\refcno 2504015]. Canad. J. Math., 64(2), 254–256. doi:10.4153/CJM-2011-072-5
Hare, K. G. , & Smyth, C. J. . (2008). Corrigendum to: ‘‘The monic integer transfinite diameter’’ [Math. Comp. 75 (2006), no. 256, 1997–2019; MR2240646]. Math. Comp., 77(263), 1869. doi:10.1090/S0025-5718-07-02077-7
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
E
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. 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. , Morris, I. D. , & Sidorov, N. . (2013). Extremal sequences of polynomial complexity. Math. Proc. Cambridge Philos. Soc., 155(2), 191–205. doi:10.1017/S0305004113000157

Pages