Abstract (may include machine translation)
Self-similar objects are the simplest examples for scale invariance. Scaling is maintained, although in an anisotropic form, when the invariance is required for the general affine transformation and not for pure dilation only. Examples include critical directed percolation clusters, directed lattice animals, or the record of a random walk. These objects are called self-affine.
Original language | English |
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Title of host publication | Fractals in Science |
Editors | Bunde A, Havlin S |
Place of Publication | New York, New York |
Publisher | Springer Verlag |
Pages | 67-89 |
Number of pages | 23 |
ISBN (Electronic) | 978-3-642-77953-4 |
DOIs | |
State | Published - 1994 |