Fluctuations in random field Ising models

Seunghyun Lee, Nabarun Deb, Sumit Mukherjee

This paper establishes a CLT for linear statistics of the form $⟨\mathbf{q},\ddot{\mathbf{I}}ƒ⟩$ with quantitative Berry-Esseen bounds, where $\ddot{\mathbf{I}}ƒ$ is an observa…