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- W2016337546 abstract "Recent results concerning the spectral properties of self-similar (fractal) structures are reviewed. The notion of spectral dimensionality ≈d is introduced via a simple scaling argument. It is shown that various random walk properties (Range, Renewal theory,...) are governed by ≈d . The spectrum of the Schrödinger equation on a regular fractal structure (Sierpinski gasket) is explicitly calculated. As illustrative examples, some phy sical properties of percolating clusters near the percolation threshold are discussed." @default.
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- W2016337546 title "Harmonic analysis in fractal spaces: Random walk statistics and spectrum of the Schrödinger equation" @default.
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- W2016337546 doi "https://doi.org/10.1016/0370-1573(84)90075-9" @default.
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