The scaling limit of Fomin's identity for two paths in the plane
| dc.creator | Kozdron, Michael J. | |
| dc.date | 2007-03-20 | |
| dc.date | 2008-02-10 | |
| dc.date.accessioned | 2026-07-07T13:14:35Z | |
| dc.date.available | 2026-07-07T13:14:35Z | |
| dc.description | We review some recently completed research that establishes the scaling limit of Fomin's identity for loop-erased random walk on Z^2 in terms of the chordal Schramm-Loewner evolution (SLE) with parameter 2. In the case of two paths, we provide a simplified proof of the identity for loop-erased random walk and simple random walk, and prove directly that the corresponding identity holds for chordal SLE(2) and Brownian motion. We also include a brief introduction to SLE and discussion of the relationship between SLE(2) and loop-erased random walk. | |
| dc.description | v2: 14 pages, 2 figures, review paper to appear in C.R. Math. Rep. Acad. Sci. Canada; added brief introduction to SLE, updated acknowledgements and references | |
| dc.identifier | https://arxiv.org/abs/math/0703615 | |
| dc.identifier | http://arxiv.org/abs/math/0703615 | |
| dc.identifier | C. R. Math. Rep. Acad. Sci. Canada, volume 29, number 3, pages 65-80, 2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230254 | |
| dc.subject | Probability | |
| dc.subject | 60-02 (Primary), 60F99, 60G50, 60J45, 60J65 (Secondary) | |
| dc.title | The scaling limit of Fomin's identity for two paths in the plane | |
| dc.type | text |