✦ LIBER ✦

Hydrodynamical Limits and Geometric Measure Theory: Mean Curvature Limits from a Threshold Voter Model

✍ Scribed by Richard B. Sowers

Book ID: 102592469
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 271 KB
Volume: 169
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3477

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✦ Synopsis

We consider hydrodynamical limits for a simple threshold voter model for a microscopically evolving random interface. This model, which is a zero-temperature Ising model, was studied by Spohn in a 1+1 setting. The model leads to motion by a certain anisotropic mean curvature. Here we develop this model through some notions of geometric measure theory, dispensing with the 1+1 restriction.