Classification of Integral Expanding Matrices and Self-Affine Tiles
β Scribed by Kirat; Lau
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 183 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0179-5376
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π SIMILAR VOLUMES
Let A be a d x d expanding integer matrix and p : Z d ---\* C be absolutely summable and satisfy ~~.~ez~ p(x) = t det A I. A function f e L 1 (R d) is called an integral self-aβ’ne function for the pair (A,p) if it satisfies the functional equation f(A-lx) = ~~.z/ez a p(y)f(x -y), a.e. (x). We prove
## Abstract We provide a classification method of weighing matrices based on a classification of selfβorthogonal codes. Using this method, we classify weighing matrices of orders up to 15 and order 17, by revising some known classification. In addition, we give a revised classification of weighing
By using a Lie algebra G and its loop algebra e G, a soliton hierarchy of evolution equations is derived from which the well-known Gerdjikov-Ivanov (GI) hierarchy with two potential functions is obtained. With the help of different choices of the modified terms, two expanding integrable systems are