Obstacles with non-trivial trapping sets in higher dimensions

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    7 Citations (Scopus)


    © 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
    Number of pages8
    JournalArchiv der Mathematik
    Issue number1
    Publication statusPublished - 1 Jul 2016


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