Loading...
Please wait, while we are loading the content...
Similar Documents
The weak Bruhat order for random walks on Coxeter groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | White, Graham |
| Copyright Year | 2016 |
| Abstract | We show that for the simple random walk on a Coxeter group generated by the Coxeter generators and identity, the likelihoods of being at any pair of states respect the weak Bruhat order. That is, after any number of steps, the most likely element is the identity, probabilities decrease along any geodesic from the identity, and the least likely element is the longest element, if the group is finite. The result remains true when different generators have different probabilities, so long as the identity is at least as likely as any other. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1611.04098v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
