160 citations · 930 across the 64 of their papers we have counts for
7 papers · 1 filter
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 Percolation Transition in the Zero-Temperature Domany Model
Federico Camia, Charles M. Newman
We analyze a deterministic cellular automaton corresponding to the zero-temperature case of Domany's stochastic Ising ferromagnet on the hexagonal la…
Continuum Nonsimple Loops and 2D Critical Percolation
Federico Camia, Charles M. Newman
Substantial progress has been made in recent years on the 2D critical percolation scaling limit and its conformal invariance properties. In particular, chordal SLE6 (the Stochastic…
A Particular Bit of Universality: Scaling Limits of Some Dependent Percolation Models
Federico Camia, Charles M. Newman, Vladas Sidoravicius
We study families of dependent site percolation models on the triangular lattice and hexagonal lattice that arise by applying certain cellular automata…
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…
Ordering and Broken Symmetry in Short-Ranged Spin Glasses
C. M. Newman, D. L. Stein
In this topical review we discuss the nature of the low-temperature phase in both infinite-ranged and short-ranged spin glasses. We analyze the meaning of pure states in spin glass…
Nonrealistic Behavior of Mean Field Spin Glasses
C. M. Newman, D. L. Stein
We study chaotic size dependence of the low temperature correlations in the SK spin glass. We prove that as temperature scales to zero with volume, for any typical coupling realiza…