Tanaka continued fractions and matching

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• Niels Langeveld (Universiteit Leiden)
• Thursday 09 May 2019, 13:00-14:00
• Lecture Theater C, Watson Building.

If you have a question about this talk, please contact Tony Samuel.

In this talk we will first show that, for the Ito Tanaka continued fractions, matching holds almost everywhere. We do so by exploiting a relation between the orbit of the endpoints of the domain. In the second part we will try to adapt this proof for another family of continued fractions named the (N,\alpha)-continued fractions. This turns out to be difficult. Can we overcome these difficulties? The first part is joint work with Wolfgang Steiner and Carlo Carminati. The second part is joint work with Cor Kraaikamp.

This talk is part of the Topology and Dynamics Seminar series.

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• Lecture Theater C, Watson Building
• School of Mathematics Events
• Topology and Dynamics Seminar

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