Eigenvectors for a random walk on a hyperplane arrangement
โ Scribed by Graham Denham
- Book ID
- 113411294
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 224 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider the random walk of a particle along topologically linear channels under the influence of a uniform drift force. The channels are generated by the usual biased random walk procedure. The resulting mean-and mean-square displacements of a particle are discussed.
## dedicated to henry crapo on his 65th birthday Let G(r, 1, l ) be the complex arrangement where ! is a primitive rth root of unity. The matroids of these arrangements are the Dowling matroids Q l (Z r ), where Z r is the group of rth roots of unity. We show that if E is a subset of G(r, 1, l )