Annihilating and coalescing random walks on ℤd
✍ Scribed by David Griffeath
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 553 KB
- Volume
- 46
- Category
- Article
- ISSN
- 1432-2064
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Random nearest neighbor and influence graphs with vertex set Z d are defined and their percolation properties are studied. The nearest neighbor graph has (with probability 1) only finite connected components and a superexponentially decaying connectivity function. Influence graphs (which are related
This paper looks at random regular simple graphs and considers nearest neighbor random walks on such graphs. This paper considers walks where the degree d of each vertex is around (logn)", where a is a constant which is at least 2 and where n is the number of vertices. By extending techniques of Dou
Let G be a finite group and E a generating set for G. Let P be a probability measure on G whose support is E. We define a random walk on G as follows. At the zeroth stage, we set w 0 =1. At the k th stage, we set w k =w k&1 x, where x # E is chosen with probability P(x). For g # G, the probability t