Homepage for Charlene Kalle
Address
Mathematisch Instituut Universiteit Leiden Niels Bohrweg 1 2333 CA Leiden The Netherlands 
Room 212 Email: kallecccj@math.leidenuniv.nl Tel: +31 71 5271590 
Research
I'm an associate professor at the Mathematical Institute of Leiden University. Information about my former whereabouts can be found on my short CV.
Keywords
interval maps, ergodic theory, dynamical systems, numeration systems, number expansions, fractal geometry
PhD students
 Niels Langeveld: Matching, entropy, holes and expansions
 Marta Maggioni: Measures and matching for number systems
 Benthen Zeegers (started in November 2018)
 Jonny Imbierski (started in September 2020, joint with Dalia Terhesiu)
Books

Publications in international journals
 Critical intermittency in random interval maps (with Ale Jan Homburg, Marks Ruziboev, Evgeny Verbitskiy and Benthen Zeegers). Comm. Math. Phys. 394(1): 137, 2022. (arXiv)
 Random Lochs' Theorem (with Evgeny Verbitskiy and Benthen Zeegers). Studia Math. 267(2): 201239, 2022. (arXiv)
 On approximation by random Lüroth expansions (with Marta Maggioni). Int. J. Number Theory 18(5): 10131046, 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): 141179, 2022. (arXiv)
 Matching for random systems with an application to minimal weight expansions (with Karma Dajani and Marta Maggioni). Nonlinearity 34(6): 36763708, 2021. (arXiv)
 The βtransformation with a hole at 0 (with Derong Kong, Niels Langeveld and Wenxia Li). Ergodic Theory Dynam. Systems 40(9): 24822514, 2020. (arXiv)
 Invariant measures, matching and the frequency of 0 for signed binary expansions (with Karma Dajani). Publ. Res. Inst. Math. Sci. 56(4): 701742, 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): 63096330, 2020. (arXiv)
 On the bifurcation set of unique expansions (with Derong Kong, Wenxia Li and Fan Lü), Acta Arith. 188(4): 367399, 2019. (arXiv)
 The random continued fraction transformation (with Tom Kempton and Evgeny Verbitskiy), Nonlinearity 30(3): 11821203, 2017. (arXiv)
 Matching for generalised βtransformations (with Henk Bruin and Carlo Carminati), Indag. Math. 28(1): 5573, 2017. (arXiv)
 Natural extensions for piecewise affine maps via Hofbauer towers (with Henk Bruin), Monatsh. Math. 175(1): 6588, 2014. (arXiv)
 Isomorphisms between positive and negative betatransformations, Ergodic Theory Dynam. Systems 34(1): 153170, 2014. (arXiv)
 Local dimensions for the random βtransformation (with Karma Dajani), New York J. Math. 19: 285303, 2013. (arXiv)
 Betaexpansions, natural extensions and multiple tilings (with Wolfgang Steiner), Trans. Amer. Math. Soc. 364(5): 22812318, 2012. (arXiv)
 Transformations generating negative βexpansions (with Karma Dajani), Integers 11B, 2011, A5. (arXiv)
 A note on the greedy βtransformation with arbitrary digits (with Karma Dajani), in École de théorie ergodique, Sémin. Congr. 20, Soc. Math. France: 83104, 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.: 113123, 2010. (arXiv)
 A natural extension for the greedy βtransformation with three arbitrary digits (with Karma Dajani), Acta Math. Hungar. 125(12): 2145, 2009. (PDF)
 Random βexpansions with deleted digits (with Karma Dajani), Discrete Contin. Dyn. Syst. 18(1): 199217, 2007. (PDF)
 On the convergence of logarithmic first return times (with Karma Dajani), Rev. Roumaine Math. Pures Appl. 52(1): 3546, 2007. (PDF)
Publications in Dutch
 De oorsprong van ergodentheorie (with Frank den Hollander), Nieuw Arch. Wiskd. (5), 22(1): 913, 2021. (PDF)
 Tegeltjeswijsheden, Eureka!, 49: 2023, 2015. (PDF)
 Bewogen getallen, Nieuw Arch. Wiskd. (5), 12(1): 4954, 2011. (PDF)
Preprints
 Iterated function systems of affine expanding and contracting maps on the unit interval (with Ale Jan Homburg). (arXiv)
 Decay of correlations for critically intermittent systems (with Benthen Zeegers). (arXiv)
Thesis
 Expansions and Extensions, 2009. (PDF)
Workshops
Together with Karma Dajani and Robbert Fokkink I am organising oneday meetings in Ergodic Theory and Fractals. Previously Tom Kempton and Cor Kraaikamp have also coorganised such meetings.
Together with Carlo Carminati, Sara Munday and Evgeny Verbitskiy I organised the conference 60 years of dynamics and number expansions from December 10 to 14, 2018 at the Centro Ennio de Giorgi in Pisa.
Together with Karma Dajani I organised the workshop on `Fractals, Ergodic Theory and Dynamical Systems' in Utrecht in 2016.
Together with Evgeny Verbitskiy I organised a workshop on `Ergodic Theory and Dynamical Systems' in honour of Prof. Yakov Sinai holding the Kloosterman Chair in Leiden in 2015.
I coorganised the school and workshop called Streams II at the Lorentz Center in Leiden in 2014.
Teaching
In the fall semester of 20212022 I will be teaching the bachelor/master course Ergodic Theory and Fractals together with Evgeny Verbitskiy.
I will also be tutoring a group of first year mathematics students for the course Wiskundige Structuren.
In the spring semester of 20212022 I will be teaching Dynamics and Chaos for second year mathematics students together with Martina ChirilusBruckner.
Foundation Compositio Mathematica
Starting January 2022 I am a board member and the secretary of the Foundation Compositio Mathematica.