What is the difference between a square and a triangle?
| dc.creator | Limic, V. | |
| dc.creator | Tarres, P. | |
| dc.date | 2007-12-06 | |
| dc.date | 2008-05-20 | |
| dc.date.accessioned | 2026-07-07T09:39:31Z | |
| dc.date.available | 2026-07-07T09:39:31Z | |
| dc.description | We offer a reader-friendly introduction to the attracting edge problem (also known as the "triangle conjecture") and its most general current solution of Limic and Tarrès (2007). Little original research is reported; rather this article ``zooms in'' to describe the essential characteristics of two different techniques/approaches verifying the almost sure existence of the attracting edge for the strongly edge reinforced random walk (SERRW) on a square. Both arguments extend straightforwardly to the SERRW on even cycles. Finally, we show that the case where the underlying graph is a triangle cannot be studied by a simple modification of either of the two techniques. | |
| dc.description | 18 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0712.0958 | |
| dc.identifier | http://arxiv.org/abs/0712.0958 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161202 | |
| dc.subject | Probability | |
| dc.subject | 60G50;60J10;60K35 | |
| dc.title | What is the difference between a square and a triangle? | |
| dc.type | text |