Convergence results and sharp estimates for the voter model interfaces

DOI10.1214/EJP.V11-349zbMath1113.60092OpenAlexW2139349325MaRDI QIDQ850427

Rongfeng Sun, Samir Brahim Belhaouari, Thomas S. Mountford, Glauco Valle

Publication date: 3 November 2006

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/127542

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Functional limit theorems; invariance principles (60F17)

Related Items (8)

Convergence to the Brownian web for a generalization of the drainage network model ⋮ Passage-time moments and hybrid zones for the exclusion-voter model ⋮ A version of the random directed forest and its convergence to the Brownian web ⋮ An invariance principle for biased voter model interfaces ⋮ Coalescing Brownian flows: a new approach ⋮ Scaling Limit for a Drainage Network Model ⋮ Equilibrium interfaces of biased voter models ⋮ Tightness for the interfaces of one-dimensional voter models

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