منابع مشابه
Lattice Model for Approximate Self-Affine Soil Profiles
A modeling of the soil structure and surface roughness by means of the concepts of the fractal growth is presented. Two parameters are used to control the model: the fragmentation dimension, Df , and the maximum mass of the deposited aggregates, Mmax. The fragmentation dimension is related to the particle size distribution through the relation N(r ≥ R) ∼ Rf , where N(r ≥ R) is the accumulative ...
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We introduce a fast algorithm for generating long self-affine profiles. The algorithm, which is based on the fast wavelet transform, is faster than the conventional Fourier filtering algorithm. In addition to increased performance for large systems, the algorithm, named the wavelet filtering algorithm, a priori gives rise to profiles for which the long-range correlation extends throughout the e...
متن کاملIntegral Self Affine Tiles in R Ii Lattice Tilings
Let A be an expanding n n integer matrix with j det A j m A standard digit set D for A is any complete set of coset representatives for Z A Z Associated to a given D is a set T A D which is the attractor of an a ne iterated function system satisfying T d D T d It is known that T A D tiles R n by some subset of Z This paper proves that every standard digit set D gives a set T A D which tiles R w...
متن کاملNeighbours of Self–Affine Tiles in Lattice Tilings
Let T be a tile of a self-affine lattice tiling. We give an algorithm that allows to determine all neighbours of T in the tiling. This can be used to characterize the sets VL of points, where T meets L other tiles. Our algorithm generalizes an algorithm of the authors which was applicable only to a special class of self-affine lattice tilings. This new algorithm can also be applied to classes c...
متن کاملINTEGRAL SELF-AFFINE TILES IN Rn II. LATTICE TILINGS
Let A be an expanding n n integer matrix with j det(A)j = m. A standard digit set D for A is any complete set of coset representatives for Z n =A(Z n). Associated to a given D is a set T(A; D), which is the attractor of an aane iterated function system, satisfying T = d2D (T + d). It is known that T(A; D) tiles R n by some subset of Z n. This paper proves that every standard digit set D gives a...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2001
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(01)00053-x