List of publications

Books

• A first course in ergodic theory (with Karma Dajani), CRC Press, 2021.
• Doortrapte getallen (with Irene Verstraten), Zebra Series Vol. 63, Epsilon Uitgaven Utrecht, 2021.
• Het gebruik van wiskunde in de Islam (with Natasja Bouwman), Zebra Series Vol. 13, Epsilon Uitgaven Utrecht, 2002.

Publications in international journals

• Rational approximation with generalised α-Lüroth expansions (with Yan Huang). To appear in Acta Arith., 2024. (arXiv)
• Rational approximations, multidimensional continued fractions, and lattice reduction (with Valérie Berthé, Karma Dajani, Ela Krawczyk, Hamide Kuru and Andrea Trevis). In Women in numbers Europe IV, Assoc. Women Math. Ser. 32: 111-154, 2024. (arXiv)
• Decay of correlations for critically intermittent systems (with Benthen Zeegers). Nonlinearity 36(6): 3319-3348, 2023. (arXiv)
• Critical intermittency in random interval maps (with Ale Jan Homburg, Marks Ruziboev, Evgeny Verbitskiy and Benthen Zeegers). Comm. Math. Phys. 394(1): 1-37, 2022. (arXiv)
• Random Lochs' Theorem (with Evgeny Verbitskiy and Benthen Zeegers). Studia Math. 267(2): 201-239, 2022. (arXiv)
• On approximation by random Lüroth expansions (with Marta Maggioni). Int. J. Number Theory 18(5): 1013-1046, 2022. (arXiv)
• Invariant densities for random continued fractions (with Valentin Matache, Masato Tsujii and Evgeny Verbitskiy). J. Math. Anal. Appl. 512(2): Paper no. 126163, 2022. (arXiv)
• Invariant densities for random systems of the interval (with Marta Maggioni). Ergodic Theory Dynam. Systems 42(1): 141-179, 2022. (arXiv)
• Matching for random systems with an application to minimal weight expansions (with Karma Dajani and Marta Maggioni). Nonlinearity 34(6): 3676-3708, 2021. (arXiv)
• The β-transformation with a hole at 0 (with Derong Kong, Niels Langeveld and Wenxia Li). Ergodic Theory Dynam. Systems 40(9): 2482-2514, 2020. (arXiv)
• Invariant measures, matching and the frequency of 0 for signed binary expansions (with Karma Dajani). Publ. Res. Inst. Math. Sci. 56(4): 701-742, 2020. (arXiv)
• Matching for a family of infinite measure continued fraction transformations (with Niels Langeveld, Marta Maggioni and Sara Munday). Discrete Contin. Dyn. Syst. 40(11): 6309-6330, 2020. (arXiv)
• On the bifurcation set of unique expansions (with Derong Kong, Wenxia Li and Fan Lü), Acta Arith. 188(4): 367-399, 2019. (arXiv)
• The random continued fraction transformation (with Tom Kempton and Evgeny Verbitskiy), Nonlinearity 30(3): 1182-1203, 2017. (arXiv)
• Matching for generalised β-transformations (with Henk Bruin and Carlo Carminati), Indag. Math. 28(1): 55-73, 2017. (arXiv)
• Natural extensions for piecewise affine maps via Hofbauer towers (with Henk Bruin), Monatsh. Math. 175(1): 65-88, 2014. (arXiv)
• Isomorphisms between positive and negative beta-transformations, Ergodic Theory Dynam. Systems 34(1): 153-170, 2014. (arXiv)
• Local dimensions for the random β-transformation (with Karma Dajani), New York J. Math. 19: 285-303, 2013. (arXiv)
• Beta-expansions, natural extensions and multiple tilings (with Wolfgang Steiner), Trans. Amer. Math. Soc. 364(5): 2281-2318, 2012. (arXiv)
• Transformations generating negative β-expansions (with Karma Dajani), Integers 11B, 2011, A5. (arXiv)
• A note on the greedy β-transformation with arbitrary digits (with Karma Dajani), in École de théorie ergodique, Sémin. Congr. 20, Soc. Math. France: 83-104, 2010. (PDF)
• Natural extensions for the Golden Mean (with Karma Dajani), in European Women in Mathematics, Proceedings of the 13th General Meeting, World Sci. Publ.: 113-123, 2010. (arXiv)
• A natural extension for the greedy β-transformation with three arbitrary digits (with Karma Dajani), Acta Math. Hungar. 125(1-2): 21--45, 2009. (PDF)
• Random β-expansions with deleted digits (with Karma Dajani), Discrete Contin. Dyn. Syst. 18(1): 199-217, 2007. (PDF)
• On the convergence of logarithmic first return times (with Karma Dajani), Rev. Roumaine Math. Pures Appl. 52(1): 35-46, 2007. (PDF)

Publications in Dutch

• De oorsprong van ergodentheorie (with Frank den Hollander), Nieuw Arch. Wiskd. (5), 22(1): 9-13, 2021. (PDF)
• Tegeltjeswijsheden, Eureka!, 49: 20-23, 2015. (PDF)
• Bewogen getallen, Nieuw Arch. Wiskd. (5), 12(1): 49-54, 2011. (PDF)

Preprints

• Constructions of normal numbers with infinitely many digitd (with Aafko Boonstra). (arXiv)
• Besicovitch-Eggleston sets for finite GLS number systems with redundancy (with Jonny Imbierski and Reza Mohammadpour). (arXiv)
• Pseudo-random number generation with β-encoders (with Evgeny Verbitskiy and Benthen Zeegers). (arXiv)
• Iterated function systems of affine expanding and contracting maps on the unit interval (with Ale Jan Homburg). (arXiv)

Thesis

• Expansions and Extensions, 2009. (PDF)