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The "Hot Spots" Conjecture on the Vicsek Set

Published 13 Jun 2018 in math.FA | (1806.05275v2)

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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