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Nonconcentration of eigenfunctions for partially rectangular billiards

Jeremy Marzuola
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Abstract

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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Jeremy Marzuola. 2005-02-25. Nonconcentration of eigenfunctions for partially rectangular billiards. https://arxiv.org/abs/math/0409579

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