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

• 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

• Besicovitch-Eggleston sets for finite GLS number systems with redundancy (with Jonny Imbierski and Reza Mohammadpour). (arXiv)
• Rational approximation with generalised α-Lüroth expansions (with Yan Huang). (arXiv)
• Pseudo-random number generation with β-encoders (with Evgeny Verbitskiy and Benthen Zeegers). (arXiv)
• Rational approximations, multidimensional continued fractions and lattice reduction (with Valérie Berthé, Karma Dajani, Ela Krawczyk, Hamide Kuru and Andrea Trevis). (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)