Self-similarity of volume measures for Laplacians on p. c. f. self-similar fractals (Q5940467)
From MaRDI portal
scientific article; zbMATH DE number 1631858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-similarity of volume measures for Laplacians on p. c. f. self-similar fractals |
scientific article; zbMATH DE number 1631858 |
Statements
Self-similarity of volume measures for Laplacians on p. c. f. self-similar fractals (English)
0 references
9 August 2001
0 references
The authors present a refined version of Weyl's formula for the eigenvalue distribution of Laplacians on certain self-similar fractals. They present a sufficient condition for the self-similarity of volume measures. Their results seem to be relevant to the study of the density of states for diffusions and wave propagation in fractal media.
0 references
Weyl's formula
0 references
eigenvalue distribution of Laplacians
0 references
self-similar fractals
0 references
fractal media
0 references
