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Sandra Huppert

Prof. Dr. Cornelis Kraaikamp, TU Delft, Vortrag: Surgery on Continued Fractions

Thursday, 01.06.2017 16:30 im Raum M5

Mathematik und Informatik

After Hitoshi Nakada introduced his family of α-continued fraction expansions in the eighties of the previous century, continued fraction expansions have seen a kind of renaissance. Nakada studied the ergodic properties of his continued fraction expansions for certain values of α (actually, for α's between 12 and 1). Later, Marmi, Moussa and Yoccoz were able to extend his results for α's between 2 and 12. More recently, interest in these α-expansions resurfaced, after Stefano Marmi and Laura Luzzi, and more later Hitoshi Nakda and Rie Natsui were able to show that the entropy as a function of α behaves rather wild for values of α between 0 and 21. In this talk I want to explain to some extend why such a rich and strange behavior can be observed. This is joint work with my PhD-student Jaap de Jonge.



Angelegt am 11.04.2017 von Sandra Huppert
Geändert am 31.05.2017 von Sandra Huppert
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Kolloquium Wilhelm Killing