The birthday problem and Markov chain Monte Carlo
| dc.creator | Benjamini, Itai | |
| dc.creator | Morris, Ben | |
| dc.date | 2007-01-14 | |
| dc.date.accessioned | 2026-07-07T07:41:00Z | |
| dc.date.available | 2026-07-07T07:41:00Z | |
| dc.description | We study the problem of generating a sample from the stationary distribution of a Markov chain, given a method to simulate the chain. We give an approximation algorithm for the case of a random walk on a regular graph with n vertices that runs in expected time O^*(\sqrt{n} x L^2-mixing time). This is close to the best possible, since \sqrt{n} is a lower bound on the worst-case expected running time of any algorithm. | |
| dc.identifier | https://arxiv.org/abs/math/0701390 | |
| dc.identifier | http://arxiv.org/abs/math/0701390 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121954 | |
| dc.subject | Probability | |
| dc.subject | Combinatorics | |
| dc.title | The birthday problem and Markov chain Monte Carlo | |
| dc.type | text |