We shall show that the oscillations observed by R. S. Strichartz in the Fourier transforms of self-similar measures have a large-scale renormalisation given by a Riesz measure. Vice versa the Riesz measure itself will be shown to be self-similar around every triadic point.
Measures and self similarity
β Scribed by Donald W Spear
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 649 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
β¦ Synopsis
By then applying the definitions in (2.5), we get z=dim,, K=dim,? K=dim, K.
(1.5)
For Sierpinski carpets [18]. (1.5) does not hold. Furthermore, we give 143
π SIMILAR VOLUMES
The right-hand side of the f(a) curve of the harmonic measure on DLA is undefined. This does not necessarily imply that the harmonic measure and the DLA geometry are not self-similar. We show for off-lattice DLA that the right-hand tail satisfies a different rescaling rule. This Cauchy rescaling is
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