Journal Articles

Baker, S and Koivusalo, H (2024) Quantitative recurrence and the shrinking target problem for overlapping iterated function systems, Advances in Mathematics, 442(2024), 109538, ISSN: 0001-8708. DOI: 10.1016/j.aim.2024.109538.

Baker, S and Zou, Y (2023) Metric results for numbers with multiple q-expansions, Journal of Fractal Geometry, 10(3/4), ISSN: 2308-1309. DOI: 10.4171/jfg/131.

Baker, S (2023) Intrinsic Diophantine approximation for overlapping iterated function systems, Mathematische Annalen, 388(3), pp.3259-3297, ISSN: 0025-5831. DOI: 10.1007/s00208-023-02608-8.

Baker, S (2023) Approximating elements of the middle third Cantor set with dyadic rationals, Israel Journal of Mathematics, ISSN: 0021-2172.

Baker, S (2023) Overlapping Iterated Function Systems from the Perspective of Metric Number Theory, Memoirs of the American Mathematical Society, 287(1426), ISSN: 0065-9266. DOI: 10.1090/memo/1428.

Allen, D, Baker, S, Chow, S, Yu, H (2022) A note on dyadic approximation in Cantor’s set, Indagationes Mathematicae, 34(1), pp.190-197, ISSN: 0019-3577. DOI: 10.1016/j.indag.2022.11.002.

Baker, S (2022) Equidistribution Results for Self-Similar Measures, International Mathematics Research Notices, 2022(16), pp.12378-12401, ISSN: 1073-7928. DOI: 10.1093/imrn/rnab056.

Algom, A, Baker, S, Shmerkin, P (2022) On normal numbers and self-similar measures, Advances in Mathematics, 399, ISSN: 0001-8708. DOI: 10.1016/j.aim.2022.108276.

Aistleitner, C, Baker, S, Technau, N, Yesha, N (2022) Gap statistics and higher correlations for geometric progressions modulo one, Mathematische Annalen, ISSN: 0025-5831. DOI: 10.1007/s00208-022-02362-3.

Baker, S and Troscheit, S (2022) ANALOGUES OF KHINTCHINE’S THEOREM FOR RANDOM ATTRACTORS, Transactions of the American Mathematical Society, 375(2), pp.1411-1441, ISSN: 0002-9947. DOI: 10.1090/tran/8537.

Baker, S (2021) New dimension bounds for αβ sets, Journal of Number Theory, 228, pp.59-72, ISSN: 0022-314X. DOI: 10.1016/j.jnt.2021.04.018.

Baker, S (2021) ITERATED FUNCTION SYSTEMS WITH SUPER-EXPONENTIALLY CLOSE CYLINDERS II, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 150(1), pp.245-256, ISSN: 0002-9939. DOI: 10.1090/proc/15644.

Baker, S and Jurga, N (2021) Maximizing Bernoulli measures and dimension gaps for countable branched systems, Ergodic Theory and Dynamical Systems, 41(7), pp.1921-1939, ISSN: 0143-3857. DOI: 10.1017/etds.2020.41.

Aistleitner, C and Baker, S (2021) On the pair correlations of powers of real numbers, Israel Journal of Mathematics, 242(1), pp.243-268, ISSN: 0021-2172. DOI: 10.1007/s11856-021-2130-4.

Baker, S (2021) Iterated function systems with super-exponentially close cylinders, Advances in Mathematics, 379, ISSN: 0001-8708. DOI: 10.1016/j.aim.2020.107548.

Baker, S and Farmer, M (2021) Quantitative recurrence properties for self-conformal sets, Proceedings of the American Mathematical Society, 149(3), pp.1127-1138, ISSN: 0002-9939. DOI: 10.1090/proc/15285.

Baker, S (2020) Equidistribution results for sequences of polynomials, Journal of Number Theory, 215, pp.1-19, ISSN: 0022-314X. DOI: 10.1016/j.jnt.2020.01.003.

Baker, S (2020) Digit frequencies and self-affine sets with non-empty interior, Ergodic Theory and Dynamical Systems, 40(7), pp.1755-1787, ISSN: 0143-3857. DOI: 10.1017/etds.2018.127.

Baker, S and Kong, D (2020) Two bifurcation sets arising from the beta transformation with a hole at 0, Indagationes Mathematicae, 31(3), pp.436-449, ISSN: 0019-3577. DOI: 10.1016/j.indag.2020.03.001.

Baker, S and Kong, D (2020) On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne, Advances in Mathematics, 360, ISSN: 0001-8708. DOI: 10.1016/j.aim.2019.106934.

Baker, S (2019) An analogue of Khintchine's theorem for self-conformal sets, Mathematical Proceedings of the Cambridge Philosophical Society, 167(3), pp.567-597, ISSN: 0305-0041. DOI: 10.1017/S030500411800049X.

Baker, S (2019) Exceptional digit frequencies and expansions in non-integer bases, Monatshefte fur Mathematik, 190(1), pp.1-31, ISSN: 0026-9255. DOI: 10.1007/s00605-019-01311-8.

Allen, D and Baker, S (2019) A general mass transference principle, Selecta Mathematica, New Series, 25(3), ISSN: 1022-1824. DOI: 10.1007/s00029-019-0484-9.

Baker, S and Kong, D (2019) Numbers with simply normal β-expansions, Mathematical Proceedings of the Cambridge Philosophical Society, 167(1), pp.171-192, ISSN: 0305-0041. DOI: 10.1017/S0305004118000270.

Barrera, RA, Baker, S, Kong, AD (2019) Entropy, topological transitivity, and dimensional properties of unique q-expansions, Transactions of the American Mathematical Society, 371(5), pp.3209-3258, ISSN: 0002-9947. DOI: 10.1090/tran/7370.

Allaart, P, Baker, S, Kong, D (2019) Bifurcation sets arising from non-integer base expansions, Journal of Fractal Geometry, 6(4), pp.301-341, ISSN: 2308-1309. DOI: 10.4171/JFG/79.

Baker, S and Sidorov, N (2019) An infinitely generated self-similar set with positive lebesgue measure and empty interior, Proceedings of the American Mathematical Society, 147(11), pp.4891-4899, ISSN: 0002-9939. DOI: 10.1090/proc/14621.

Baker, S, Fraser, JM, Máthé, A (2019) Inhomogeneous self-similar sets with overlaps, Ergodic Theory and Dynamical Systems, 39(1), pp.1-18, ISSN: 0143-3857. DOI: 10.1017/etds.2017.13.

Baker, S (2018) Approximation properties of β-expansions II, Ergodic Theory and Dynamical Systems, 38(5), pp.1627-1641, ISSN: 0143-3857. DOI: 10.1017/etds.2016.108.

Baker, S and Yu, H (2018) Root Sets of Polynomials and Power Series with Finite Choices of Coefficients, Computational Methods and Function Theory, 18(1), pp.89-97, ISSN: 1617-9447. DOI: 10.1007/s40315-017-0215-1.

Baker, S, Masáková, Z, Pelantová, E, Vávra, T (2017) On periodic representations in non-Pisot bases, Monatshefte fur Mathematik, 184(1), pp.1-19, ISSN: 0026-9255. DOI: 10.1007/s00605-017-1063-9.

Baker, S and Kong, D (2017) Unique expansions and intersections of Cantor sets, Nonlinearity, 30(4), pp.1497-1512, ISSN: 0951-7715. DOI: 10.1088/1361-6544/aa6078.

Baker, S and Steiner, W (2017) On the regularity of the generalised golden ratio function, Bulletin of the London Mathematical Society, 49(1), pp.58-70, ISSN: 0024-6093. DOI: 10.1112/blms.12002.

Baker, S and Dajani, K (2017) Induced random β-transformation, Acta Arithmetica, 178(1), pp.1-14, ISSN: 0065-1036. DOI: 10.4064/aa8306-8-2016.

Zou, Y, Wang, L, Lu, J, Baker, S (2016) ON SMALL BASES FOR WHICH 1 HAS COUNTABLY MANY EXPANSIONS, Mathematika, 62(2), pp.362-377, ISSN: 0025-5793. DOI: 10.1112/S002557931500025X.

Baker, S (2016) On the cardinality and complexity of the set of codings for self-similar sets with positive lebesgue measure, Monatshefte fur Mathematik, 179(1), pp.1-13, ISSN: 0026-9255. DOI: 10.1007/s00605-015-0755-2.

Baker, S and Ghenciu, AE (2015) Dynamical properties of S-gap shifts and other shift spaces, Journal of Mathematical Analysis and Applications, 430(2), pp.633-647, ISSN: 0022-247X. DOI: 10.1016/j.jmaa.2015.04.092.

Baker, S (2015) On small bases which admit countably many expansions, Journal of Number Theory, 147, pp.515-532, ISSN: 0022-314X. DOI: 10.1016/j.jnt.2014.08.003.

Baker, S (2015) Approximation properties of β-expansions, Acta Arithmetica, 168(3), pp.269-287, ISSN: 0065-1036. DOI: 10.4064/aa168-3-4.

Baker, S, Dajani, K, Jiang, K (2015) On univoque points for self-similar sets, Fundamenta Mathematicae, 228(3), pp.265-282, ISSN: 0016-2736. DOI: 10.4064/fm228-3-4.

Baker, S (2014) On universal and periodic β-expansions, and the Hausdorff dimension of the set of all expansions, Acta Mathematica Hungarica, 142(1), pp.95-109, ISSN: 0236-5294. DOI: 10.1007/s10474-013-0366-0.

Baker, SP (2013) A multifractal zeta function for Gibbs measures supported on cookie-cutter sets, Nonlinearity, 26(4), pp.1125-1142, ISSN: 0951-7715. DOI: 10.1088/0951-7715/26/4/1125.

Baker, S (2012) The growth rate and dimension theory of beta-expansions, Fundamenta Mathematicae, 219(3), pp.271-285, ISSN: 0016-2736. DOI: 10.4064/fm219-3-6.