160 citations · 930 across the 64 of their papers we have counts for
5 papers · 1 filter
The Full Brownian Web as Scaling Limit of Stochastic Flows
Luiz Renato Fontes, Charles M. Newman
In this paper we construct an object which we call the full Brownian web (FBW) and prove that the collection of all space-time trajectories of a class of one-dimensional stochastic…
The Scaling Limit Geometry of Near-Critical 2D Percolation
F. Camia, L. R. G. Fontes, C. M. Newman
We analyze the geometry of scaling limits of near-critical 2D percolation, i.e., for , with , as the lattice spacing . Our proposed framework extends…
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…
Local vs. Global Variables for Spin Glasses
C. M. Newman, D. L. Stein
We discuss a framework for understanding why spin glasses differ so remarkably from homogeneous systems like ferromagnets, in the context of the sharply divergent low temperature b…
Short-Range Spin Glasses: Results and Speculations
C. M. Newman, D. L. Stein
This paper is divided into two parts. The first part concerns several standard scenarios for how short-range spin glasses might behave at low temperature. Earlier theorems of the a…