160 citations · 930 across the 64 of their papers we have counts for
41 papers · 1 filter
Monotonicity of Ursell functions in the Ising model
Federico Camia, Jianping Jiang, Charles M. Newman
In this paper, we consider Ising models with ferromagnetic pair interactions. We prove that the Ursell functions satisfy: is increasing in each interact…
The Gaussian process for particle masses in the near-critical Ising model
Federico Camia, Jianping Jiang, Charles M. Newman
We review the construction of a stationary Gaussian process starting from the near-critical continuum scaling limit of the Ising magnetization and its relation to the…
Ising model with Curie-Weiss perturbation
Federico Camia, Jianping Jiang, Charles M. Newman
Consider the nearest-neighbor Ising model on at inverse temperature with free boundary conditions, and let be…
The effect of free boundary conditions on the Ising model in high dimensions
Federico Camia, Jianping Jiang, Charles M. Newman
We study the critical Ising model with free boundary conditions on finite domains in with . Under the assumption, so far only proved completely for high ,…
Conformal Measure Ensembles and Planar Ising Magnetization: A Review
Federico Camia, Jianping Jiang, Charles M. Newman
We provide a review of results on the critical and near-critical scaling limit of the planar Ising magnetization field obtained in the past dozen years. The results are presented i…
A Gaussian process related to the mass spectrum of the near-critical Ising model
Federico Camia, Jianping Jiang, Charles M. Newman
Let with denote the near-critical scaling limit of the planar Ising magnetization field. We take the limit of as the spatial coordinate scales to infin…
Constants of de Bruijn-Newman type in analytic number theory and statistical physics
Charles M. Newman, Wei Wu
One formulation in 1859 of the Riemann Hypothesis (RH) was that the Fourier transform of for has only real zeros when is a specific function…
A note on exponential decay in the random field Ising model
Federico Camia, Jianping Jiang, Charles M. Newman
For the two-dimensional random field Ising model (RFIM) with bimodal (i.e., two-valued) external field, we prove exponential decay of correlations either (1) when the temperature i…
FK-Ising coupling applied to near-critical planar models
Federico Camia, Jianping Jiang, Charles M. Newman
We consider the Ising model at its critical temperature with external magnetic field on . We give a purely probabilistic proof, using FK methods rather t…
Zero-temperature dynamics in the dilute Curie-Weiss model
Reza Gheissari, Charles M. Newman, Daniel L. Stein
We consider the Ising model on a dense Erdős--Rényi random graph, , with fixed---equivalently, a disordered Curie--Weiss Ising model with $\mbox{Ber}(p)$ cou…
Gaussian fluctuations for the classical XY model
Charles M. Newman, Wei Wu
We study the classical XY model in bounded domains of with Dirichlet boundary conditions. We prove that when the temperature goes to zero faster than a certain rat…
Critical Percolation and the Minimal Spanning Tree in Slabs
Charles M. Newman, Vincent Tassion, Wei Wu
The minimal spanning forest on is known to consist of a single tree for and is conjectured to consist of infinitely many trees for large . In this pa…
Coarsening dynamics on with frozen vertices
Michael Damron, Sinziana M. Eckner, Hana Kogan +2
We study Markov processes in which -valued random variables , update by taking the value of a majority of their nearest neighbors or else tossing…
The voter model chordal interface in two dimensions
Mark Holmes, Yevhen Mohylevskyy, Charles M. Newman
Consider the voter model on a box of side length (in the triangular lattice) with boundary votes fixed forever as type 0 or type 1 on two different halves of the boundary. Moti…
Fixation to Consensus on Tree-related Graphs
Sinziana M. Eckner, Charles M. Newman
We study a continuous time Markov process whose state space consists of an assignment of +1 or -1 to each vertex of a graph G. The graphs that we treat are related to homogeneous t…
Fixation for coarsening dynamics in 2D slabs
Michael Damron, Hana Kogan, Charles M. Newman +1
For the zero temperature limit of Ising Glauber Dynamics on 2D slabs the existence or nonexistence of vertices that do not fixate is determined as a function of slab thickness.
The Brownian Net with Killing
Charles M. Newman, K. Ravishankar, Emmanuel Schertzer
Motivated by its relevance for the study of perturbations of one-dimensional voter models, including stochastic Potts models at low temperature, we consider diffusively rescaled co…
Planar Ising magnetization field II. Properties of the critical and near-critical scaling limits
Federico Camia, Christophe Garban, Charles M. Newman
In [CGN12], we proved that the renormalized critical Ising magnetization fields converge as to a random distribution that…
Coarsening in 2D slabs
Michael Damron, Hana Kogan, Charles M. Newman +1
We study coarsening; that is, the zero-temperature limit of Glauber dynamics in the standard Ising model on slabs S_k = Z^2 x {0, ..., k-1} of all thicknesses k \geq 2 (with free a…
Absence of site percolation at criticality in Z^2 x {0,1}
Michael Damron, Charles M. Newman, Vladas Sidoravicius
In this note we consider site percolation on a two dimensional sandwich of thickness two, the graph Z^2 x {0,1}. We prove that there is no percolation at the critical point. The sa…
The Ising magnetization exponent on Z^2 is 1/15
Federico Camia, Christophe Garban, Charles M. Newman
We prove that for the Ising model defined on the plane at , the average magnetization under an external magnetic field behaves exactly like \[{σ_0}_{β_c, h} \as…
Planar Ising magnetization field I. Uniqueness of the critical scaling limit
Federico Camia, Christophe Garban, Charles M. Newman
The aim of this paper is to prove the following result. Consider the critical Ising model on the rescaled grid , then the renormalized magnetization field \[Φ^a:=a^{…
Fixation for Distributed Clustering Processes
Marcelo R. Hilario, Oren Louidor, Charles M. Newman +3
We study a discrete-time resource flow in , where wealthier vertices attract the resources of their less rich neighbors. For any translation-invariant probability distribution…
Ising (Conformal) Fields and Cluster Area Measures
Federico Camia, Charles M. Newman
We provide a representation for the scaling limit of the d=2 critical Ising magnetization field as a (conformal) random field using SLE (Schramm-Loewner Evolution) clusters and ass…