A counterexample to the ``hot spots'' conjecture on nested fractals (Q1704871)
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scientific article; zbMATH DE number 6849509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample to the ``hot spots'' conjecture on nested fractals |
scientific article; zbMATH DE number 6849509 |
Statements
A counterexample to the ``hot spots'' conjecture on nested fractals (English)
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13 March 2018
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The authors answer the question whether every eigenfunction of the second eigenvalue of the Neumann Laplacian of a nested fractal attains its maximum and minimum on the boundary in the negative. As a counterexample they present the hexagasket, a nested fractal set contained in a regular hexagon.
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eigenvalues
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Neumann Laplacian
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hot spots
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nested fractal
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hexagasket
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spectral decimation
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