160 citations · 198 across the 6 of their papers we have counts for
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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…
The Brownian web: Characterization and convergence
L. R. G. Fontes, M. Isopi, C. M. Newman +1
The Brownian web (BW) is the random network formally consisting of the paths of coalescing one-dimensional Brownian motions starting from every space-time point in R\timesR. We ext…
The Brownian Web: Characterization and Convergence
L. R. G. Fontes, M. Isopi, C. M. Newman +1
The Brownian Web (BW) is the random network formally consisting of the paths of coalescing one-dimensional Brownian motions starting from every space-time point in ${\mathbb R}\tim…
Convergence in Energy-Lowering (Disordered) Stochastic Spin Systems
Emilio De Santis, Charles M. Newman
We consider stochastic processes, S^t \equiv (S_x^t : x \in Z^d), with each S_x^t taking values in some fixed finite set, in which spin flips (i.e., changes of S_x^t) do not raise…
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…
Geodesics and Spanning Trees for Euclidean First-Passage Percolation
C. D. Howard, C. M. Newman
The metric on the set of particle locations of a homogeneous Poisson process on , defined as the infimum of over sequences i…