Obstacles with non-trivial trapping sets in higher dimensions

Lyle Noakes; Luchezar Stoyanov

doi:10.1007/s00013-016-0907-1

Obstacles with non-trivial trapping sets in higher dimensions

Lyle Noakes, Luchezar Stoyanov

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 language	English
Pages (from-to)	73-80
Number of pages	8
Journal	Archiv der Mathematik
Volume	107
Issue number	1
DOIs	https://doi.org/10.1007/s00013-016-0907-1
Publication status	Published - 1 Jul 2016

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AB - © 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.

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Obstacles with non-trivial trapping sets in higher dimensions

Abstract

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