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Thermodynamic limit of the first Lee-Yang zero
Jianping Jiang, Charles M. Newman
We complete the verification of the 1952 Yang and Lee proposal that thermodynamic singularities are exactly the limits in of finite-volume singularities in ${\mathbb…
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…
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…
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…