Hydrodynamical limits and geometric measure theory: mean curvature limits from a threshold voter model

DOI10.1006/jfan.1999.3477zbMath0968.60094OpenAlexW2042459762MaRDI QIDQ1969450

Richard B. Sowers

Publication date: 11 May 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3477

zbMATH Keywords

mean curvature flowHausdorff measuredensity and local indecomposability assumptions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (2)

The initial drift of a 2D droplet at zero temperature ⋮ Motion by mean curvature in interacting particle systems

Cites Work

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• A new proof of the compactness theorem for integral currents
• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Interface motion in models with stochastic dynamics
• Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
• Coexistence in threshold voter models
• Interacting particle systems and generalized evolution of fronts
• Anisotropic motion by mean curvature in the context of Finsler geometry
• Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics
• Fixation results for threshold voter systems
• Phase transitions and generalized motion by mean curvature
• NUMERICAL EVIDENCE OF FATTENING FOR THE MEAN CURVATURE FLOW

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