The number of local extrema of Laplacian eigenfunctions on the Sierpinski gasket grows as λ to the power d_S/2, governed by the spectral dimension.
Hörmander, The analysis of linear partial differential operators
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The growth of eigenfunction extrema on p.c.f. fractals
The number of local extrema of Laplacian eigenfunctions on the Sierpinski gasket grows as λ to the power d_S/2, governed by the spectral dimension.