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arxiv: math/0409579 · v2 · submitted 2004-09-29 · 🧮 math.AP

Nonconcentration of eigenfunctions for partially rectangular billiards

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keywords billiardsbilliardeigenfunctionsnonconcentrationpresentedrectangularresultsapplication
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In this paper, the results of Burq and Zworski are further developed to study nonconcentration of eigenfunctions for billiards which have rectangular components: these include the Buminovich billiard, the Sinai billiard, and certain pseudointegrable billiards. The results presented are an application of using a "black box" point of view as presented by the same authors.

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