Random walks and cell size
β Scribed by Paul S. Agutter; Denys N. Wheatley
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 98 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0265-9247
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Consider a graph G and a random walk on it. We want to stop the random walk at certain times (using an optimal stopping rule) to obtain independent samples from a given distribution Ο on the nodes. For an undirected graph, the expected time between consecutive samples is maximized by a distribution
Let G be a connected, undirected graph and Let N N be the nonnegative quadrant of the plane grid, and H the subgraph of N N induced by the sites i j for which X i = Y j . We say that G is "navigable" if with probability greater than 0, the origin belongs to an infinite component of H. We determine
## Abstract We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of CMV matrices gives a natural tool to study these processes and to give results that are analogous to those