Homepage for Charlene Kalle

Address:

Mathematisch Instituut Universiteit Leiden Niels Bohrweg 1 2333 CA Leiden The Netherlands

Room 211 Email: kallecccj@math.leidenuniv.nl Tel: +31 71 5275265

Research:

I'm a postdoc at Leiden University in the group of Frank den Hollander. I am currently working on my Veni project entitled `Multifractal analysis of Bernoulli convolutions through β-expansions'. Information about my former whereabouts can be found on my short CV.

Keywords

β-expansions, ergodic theory, dynamical systems

Publications

• Beta-expansions, natural extensions and multiple tilings (with Wolfgang Steiner), to appear in Trans. Amer. Math. Soc. (arXiv)
• Bewogen getallen, Nieuw Arch. Wiskd. (5), 12 (1), 2011, pp. 49-54. (PDF)
• A note on the greedy β-transformation with arbitrary digits (with Karma Dajani), in École de théorie ergodique, Sémin. Congr. 20, Soc. Math. France, 2010, pp. 83-104. (PDF)
• Natural extensions for the Golden Mean (with Karma Dajani), in European Women in Mathematics, Proceedings of the 13th General Meeting, World Sci. Publ., 2010, pp. 113-123. (arXiv)
• A natural extension for the greedy β-transformation with three arbitrary digits (with Karma Dajani), Acta Math. Hungar. 125 (1-2), 2009, pp. 21-45. (PDF)
• Random β-expansions with deleted digits (with Karma Dajani), Discrete Contin. Dyn. Syst. 18 (1), 2007, pp. 199-217. (PDF)
• On the convergence of logarithmic first return times (with Karma Dajani), Rev. Roumaine Math. Pures Appl. 52 (1), 2007, pp. 35-46. (PDF)
• Het gebruik van wiskunde in de Islam (with Natasja Bouwman), Epsilon Uitgaven, Utrecht 2002.

Preprint

• Transformations generating negative β-expansions (with Karma Dajani). (arXiv)

Teaching:

In the spring semester of 2011-2012 I will be teaching the course Linear Algebra and Image Processing for computer science students together with Jesse Goodman.

Slides of some talks:

• Dynamics seminar, Erwin Schrödinger Institute, Vienna (Austria). (slides)
• One Day Ergodic Theory Meeting, Queen Mary, London (UK). (slides)
• Numeration: Mathematics and Computer Science, Luminy (France) (slides)
• Introductiedagen Universiteit Utrecht, Utrecht (The Netherlands). (slides)
• Delft Stochastics Colloquium, Delft (The Netherlands). (slides)
• Dynamical Aspects of Numeration 2008, Rome (Italy). (slides)
• Stochastics Meetings 2007 and 2008, Lunteren (The Netherlands). (poster 2007), (poster 2008)
• Dynamical Aspects of Numeration 2006, Paris (France). (slides)

Theses:

• PhD thesis: Expansions and Extensions.
• Master thesis in Mathematics: Convergence of logarithmic return times.
• Bachelor thesis in Mathematics: Variations of the Black-Scholes model.
• Bachelor thesis in Italian Language and Culture: Fellini dantesco o Dante felliniano? (in Italian)