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arXiv · 1510.07723

Problems related to the concentration of eigenfunctions

Christopher D. Sogge
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Abstract

We survey recent results related to the concentration of eigenfunctions. We also prove some new results concerning ball-concentration, as well as showing that eigenfunctions saturating lower bounds for $L^1$-norms must also, in a measure theoretical sense, have extreme concentration near a geodesic.

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Christopher D. Sogge. 2015-10-26. Problems related to the concentration of eigenfunctions. https://arxiv.org/abs/1510.07723

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