Exceptional ergodic directions in Eaton lenses

Mauro Artigiani

Research output: Contribution to journalArticle (Academic Journal)peer-review

2 Citations (Scopus)
254 Downloads (Pure)

Abstract

We construct examples of ergodic vertical flows in periodic configurations of Eaton lenses of fixed radius. We achieve this by studying a family of infinite translation surfaces that are Z2-covers of slit tori. We show that the Hausdorff dimension of lattices for which the vertical flow is ergodic is bigger than 3/2. Moreover, the lattices are explicitly constructed.
Original languageEnglish
Pages (from-to)29-56
Number of pages28
JournalIsrael Journal of Mathematics
Volume220
Issue number1
Early online date5 May 2017
DOIs
Publication statusPublished - Jun 2017

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