Journal article
Asymptotics for the spectral and walk dimension as fractals approach Euclidean space
- Abstract:
-
We discuss the behavior of the dynamic dimension exponents for families of fractals based on the Sierpinski gasket and carpet. As the length scale factor for the family tends to infinity, the lattice approximations to the fractals look more like the tetrahedral or cubic lattice in Euclidean space and the fractal dimension converges to that of the embedding space. However, in the Sierpinski gasket case, the spectral dimension converges to two for all dimensions. In two dimensions, we prove a c...
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- Publication status:
- Published
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- Publisher copy:
- 10.1142/S0218348X02001270
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Bibliographic Details
- Journal:
- FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
- Volume:
- 10
- Issue:
- 4
- Pages:
- 403-412
- Publication date:
- 2002-12-01
- DOI:
- EISSN:
-
1793-6543
- ISSN:
-
0218-348X
- Source identifiers:
-
4133
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:4133
- UUID:
-
uuid:c1eb6b6c-91ef-4930-87c8-d31c00a0c6cf
- Local pid:
- pubs:4133
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2002
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