TY - JOUR
T1 - Hydrodynamical Limits and Geometric Measure Theory
T2 - Mean Curvature Limits from a Threshold Voter Model
AU - Sowers, Richard B.
N1 - Funding Information:
1This work was supported by NSF DMS 9615877.
PY - 1999/12/20
Y1 - 1999/12/20
N2 - 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.
AB - 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.
KW - Geometric measure theory
KW - Hydrodynamical limits
KW - Integral currents
KW - Threshold voter model
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U2 - 10.1006/jfan.1999.3477
DO - 10.1006/jfan.1999.3477
M3 - Article
AN - SCOPUS:0348230750
SN - 0022-1236
VL - 169
SP - 421
EP - 455
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -