A growth model in multiple dimensions and the height of a random partial order
| dc.creator | Seppäläinen, Timo | |
| dc.date | 2002-11-04 | |
| dc.date | 2007-09-07 | |
| dc.date.accessioned | 2026-07-07T08:28:51Z | |
| dc.date.available | 2026-07-07T08:28:51Z | |
| dc.description | We introduce a model of a randomly growing interface in multidimensional Euclidean space. The growth model incorporates a random order model as an ingredient of its graphical construction, in a way that replicates the connection between the planar increasing sequences model and the one-dimensional Hammersley process. We prove a hydrodynamic limit for the height process, and a limit which says that certain perturbations of the random surface follow the characteristics of the macroscopic equation. By virtue of the space-time Poissonian construction, we know the macroscopic velocity function explicitly up to a constant factor. | |
| dc.description | Published at http://dx.doi.org/10.1214/074921707000000373 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0211066 | |
| dc.identifier | http://arxiv.org/abs/math/0211066 | |
| dc.identifier | IMS Lecture Notes Monograph Series 2007, Vol. 55, 204-233 | |
| dc.identifier | doi:10.1214/074921707000000373 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137765 | |
| dc.subject | Probability | |
| dc.subject | 60K35 (Primary); 82C22 (Secondary) | |
| dc.title | A growth model in multiple dimensions and the height of a random partial order | |
| dc.type | text |