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 assistant professor at Leiden University in the group of Frank den Hollander. Information about my former whereabouts can be found on my short CV.

Keywords

interval maps, ergodic theory, dynamical systems, fractal geometry

PhD students

• Niels Langeveld: Matching, entropy, holes and expansions
• Marta Maggioni (started September 2016)
• Benthen Zeegers (started November 2018)
• Jonny Imbierski (to start in September 2020)

Publications in international journals

• The β-transformation with a hole at 0 (with Derong Kong, Niels Langeveld and Wenxia Li). To appear in Ergodic Theory Dynam. Systems. (arXiv)
• Invariant measures, matching and the frequency of 0 for signed binary expansions (with Karma Dajani). Publ. Res. Inst. Math. Sci. 56(4): 1-42, 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)

Preprints

• Invariant densities for random systems of the interval (with Marta Maggioni). (arXiv)
• Matching for random systems with an application to minimal weight expansions (with Karma Dajani and Marta Maggioni). (arXiv)

Publications in Dutch

• Tegeltjeswijsheden, Eureka!, 49: 20-23, 2015. (PDF)
• Bewogen getallen, Nieuw Arch. Wiskd. (5), 12(1): 49-54, 2011. (PDF)
• Het gebruik van wiskunde in de Islam (with Natasja Bouwman), Epsilon Uitgaven, Utrecht 2002.

Thesis

• Expansions and Extensions, 2009. (PDF)

Workshops

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 and Cor Kraaikamp I organised three one-day meetings in Ergodic Theory and Fractals in 2018. This was a sequal of a similar series of events that I organised with Tom Kempton in 2013.

From August 30 to September 2, 2016, there was a workshop on `Fractals, Ergodic Theory and Dynamical Systems' in Utrecht.

On the 11th and 12th of June 2015 there was a workshop on `Ergodic Theory and Dynamical Systems' in Leiden.

From the 20th to the 31st of Januari 2014 there was a school and workshop called Streams II at the Lorentz Center in Leiden.

Teaching

In the fall semester of 2019-2020 I will be teaching Wiskundige Structuren for first year mathematics students in Leiden.

In the spring semester of 2019-2020 I will be teaching the bachelor/master course Ergodic Theory and Fractals together with Dalia Terhesiu.

Studieadviseur

Sinds februari 2015 ben ik studieadviseur voor bachelorstudenten Wiskunde vanaf jaar 2. Klik hier voor informatie hierover.