$SLE(κ,ρ)$ processes, hiding exponents and self-avoiding walks in a wedge
| dc.creator | Deutscher, Nathan | |
| dc.creator | Batchelor, Murray T. | |
| dc.date | 2007-09-13 | |
| dc.date.accessioned | 2026-07-07T09:23:58Z | |
| dc.date.available | 2026-07-07T09:23:58Z | |
| dc.description | This article employs Schramm-Loewner Evolution to obtain intersection exponents for several chordal $SLE_{8/3}$ curves in a wedge. As $SLE_{8/3}$ is believed to describe the continuum limit of self-avoiding walks, these exponents correspond to those obtained by Cardy, Duplantier and Saleur for self-avoiding walks in an arbitrary wedge-shaped geometry using conformal invariance based arguments. Our approach builds on work by Werner, where the restriction property for $SLE(κ,ρ)$ processes and an absolute continuity relation allow the calculation of such exponents in the half-plane. Furthermore, the method by which these results are extended is general enough to apply to the new class of hiding exponents introduced by Werner. | |
| dc.description | 12 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0709.2002 | |
| dc.identifier | http://arxiv.org/abs/0709.2002 | |
| dc.identifier | J. Phys. A 41 (2008) 035001 | |
| dc.identifier | doi:10.1088/1751-8113/41/3/035001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155928 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B41 | |
| dc.title | $SLE(κ,ρ)$ processes, hiding exponents and self-avoiding walks in a wedge | |
| dc.type | text |