| GÖKOVA GEOMETRY / TOPOLOGY PROCEEDINGS |
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| Published in |
Proceedings of Gökova Geometry-Topology Conference 2012 |
| Title |
Tube formula for self-similar fractals with non-Steiner-like generators |
| Authors |
Ali Deniz, Sahin Koçak, Yunus Özdemir, and Adem Ersin Üreyen |
| Abstract |
We give a pointwise proof for the tube formula of Lapidus-Pearse
for self-similar fractals, where we extend the types of generators beyond the piecewise polynomial case.
We illustrate the new approach on
several examples.
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| Keywords |
Self-similar fractals, tube formula, complex dimensions,
self-similar tiling, zeta functions
|
| Pages | 123-145 |
| Download |
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