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arXiv · 1806.05275

The "Hot Spots" Conjecture on the Vicsek Set

Marius Ionescu·Thomas L. Savage
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Abstract

We prove the Hot Spot conjecture on the Vicsek set. Specifically, we show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.

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BibTeXRIS

Marius Ionescu, Thomas L. Savage. 2018-06-13. The "Hot Spots" Conjecture on the Vicsek Set. https://arxiv.org/abs/1806.05275

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