Obstacles with non-trivial trapping sets in higher dimensions

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    Abstract

    © 2016, Springer International Publishing.Using a well-known example of Livshits, for every n> 2 we construct obstacles K in Rn such that the set of trapped points for the billiard flow in the exterior of K has a non-empty interior, and therefore a positive Lebesgue measure.
    Original languageEnglish
    Pages (from-to)73-80
    JournalArchiv der Mathematik
    Volume107
    Issue number1
    DOIs
    Publication statusPublished - 2016

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