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20182020
most citedThe effect of free boundary conditions on the Ising model in high dimensions

1 citations · 1 across the 1 of their papers we have counts for

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5 papers

math.PR20201 cited

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 ,…

math.PR2020

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…

math.PR2019

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…

math.PR2019

A CLT for the total energy of the two-dimensional critical Ising model

Jianping Jiang

Consider the Ising model on at critical temperature with periodic boundary condition in the horizontal direction and free boundary condition…

math.PR2018

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…