HOME /

Publications

Search
Author Title Type [ Year(Desc)]
2019
Hare, K. E. , Hare, K. G. , & Matthews, K. R. . (2019). Local dimensions of measures of finite type on the torus. Asian Journal of Mathematics, 23(1), 127--156. Retrieved from https://dx.doi.org/10.4310/AJM.2019.v23.n1.a7
Hare, K. G. , & Mossinghoff, M. J. . (2019). Most Reinhardt polygons are sporadic. Geometriae Dedicata, 198(1), 1--18. Retrieved from https://doi.org/10.1007/s10711-018-0326-5
2020
Hare, K. E. , & Hare, K. G. . (2020). Intermediate Assouad-like dimensions for measures. Fractals, 28(7). Retrieved from https://doi.org/10.1142/S0218348X20501431
Hare, K. E. , Hare, K. G. , & Troscheit, S. . (2020). Quasi-doubling of self-similar measures with overlaps. Journal of Fractal Geometry, 7(3), 233-270. Retrieved from https://doi.org/10.4171/JFG/91
2021
Hare, K. G. , & Sidorov, N. . (2021). On a family of self-affine IFS whose attractors have non-fractal top. Fractals, 29(6). Retrieved from https:///dx.doi.org/10.1142/S0218348X21501590 g_data.tex ros_data.txt
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
Hare, K. E. , Hare, K. G. , & Rutar, A. . (2021). 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
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. , & Jankauskas, J. . (2021). On Newman and Littlewood polynomials with prescribed number of zeros inside the unit disk. Math of Computation, 90(328), 831--870. Retrieved from https://doi.org/10.1090/mcom/3570
Hare, K. E. , Hare, K. G. , & Shen, W. . (2021). The Lq-spectrum for a class of self-similar measures with overlap. Asian Journal of Mathematics, 25(2), 195--228. Retrieved from https://dx.doi.org/10.4310/AJM.2021.v25.n2.a3
2022
Hare, K. G. , & Saunders, J. C. . (2022). Generalised Fibonacci sequences constructed from balanced words. Journal of Number Theory, 231, 349--377. Retrieved from https://doi.org/10.1016/j.jnt.2021.05.008
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
2024
Hare, K. G. , & Sidorov, N. . (2024). The Minkowski sum of linear Cantor sets. Acta Arithmetica, 212(2), 173-183. Retrieved from https://arxiv.org/abs/2210.07671 table.txt
Caldwell, J. W. , Hare, K. G. , & Tomáš, T. . (2024). Non-expansive matrix number systems with bases similar to certain Jordan blocks. Journal of Combinatorial Theory, Series A, 202, 21 pp. Retrieved from https://doi.org/10.1016/j.jcta.2023.105828
Accepted
Hare, K. G. , & Vavra, T. . (Accepted). Self-similar sets and self-similar measures in the $p$-adics. Journal of Fractal Geometry. Retrieved from http://arxiv.org/abs/2307.07375
Submitted
Hare, K. G. , & Noytaptim, C. . (Submitted). Totally real algebraic numbers in generalized Mandelbrot set. Retrieved from https://arxiv.org/abs/2405.10395
Hare, K. G. . (Submitted). Computational progress on the unfair 0-1 polynomial Conjecture. Retrieved from http://arxiv.org/abs/2307.07363
Hare, K. G. . (Submitted). Self-similar measures with unusual local dimension properties. Retrieved from https://arxiv.org/abs/2201.12196
10040
Hare, K. G. . (10040). Equicontractive weak separation property on the line does not imply convex finite type condition. Retrieved from https://arxiv.org/abs/2403.00693

Pages