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The Full Scaling Limit of Two-Dimensional Critical Percolation
Federico Camia, Charles M. Newman
We use SLE(6) paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site…
Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice
Federico Camia, Charles M. Newman, Vladas Sidoravicius
We investigate zero-temperature dynamics on the hexagonal lattice H for the homogeneous ferromagnetic Ising model with zero external magnetic field and a disordered ferromagnetic I…
Clusters and Recurrence in the Two-Dimensional Zero-Temperature Stochastic Ising Model
F. Camia, E. De Santis, C. M. Newman
We analyze clustering and (local) recurrence of a standard Markov process model of spatial domain coarsening. The continuous time process, whose state space consists of assignments…