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Some arithmetical aspects of renormalization in Teichmüller dynamics: On the occasion of Corinna Ulcigrai winning the Brin Prize (Brin prize article)

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  • We present some works of Corinna Ulcigrai closely related to Diophantine approximations and generalizing classical notions to the context of interval exchange maps, translation surfaces and Teichmüller dynamics.

    Mathematics Subject Classification: Primary: 11J06; Secondary: 11J70, 37E05, 37E20.


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  • Figure 1.  The Brjuno function $ B(\alpha) $

    Figure 2.  Rauzy diagram for 2 and 3 intervals

    Figure 3.  Rauzy diagrams for 4 intervals and genus 2

    Figure 4.  Rauzy diagram for $ d = 6 $ (using the same set of notations [46]). This figure is an extract of the Master thesis of Corinna Ulcigrai, Pisa, 2002

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