Spectral gap for the interchange process in a box
| dc.creator | Morris, Ben | |
| dc.date | 2008-05-05 | |
| dc.date.accessioned | 2026-07-07T09:37:01Z | |
| dc.date.available | 2026-07-07T09:37:01Z | |
| dc.description | We show that the spectral gap for the interchange process (and the symmetric exclusion process) in a $d$-dimensional box of side length $L$ is asymptotic to $π^2/L^2$. This gives more evidence in favor of Aldous's conjecture that in any graph the spectral gap for the interchange process is the same as the spectral gap for a corresponding continuous-time random walk. Our proof uses a technique that is similar to that used by Handjani and Jungreis, who proved that Aldous's conjecture holds when the graph is a tree. | |
| dc.description | 8 pages. I learned after completing a draft of this paper that its main result had recently been obtained by Starr and Conomos | |
| dc.identifier | https://arxiv.org/abs/0805.0480 | |
| dc.identifier | http://arxiv.org/abs/0805.0480 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160317 | |
| dc.subject | Probability | |
| dc.subject | 82C22; 60K35 | |
| dc.title | Spectral gap for the interchange process in a box | |
| dc.type | text |