A non-asymptotic CLT is proved for projections of high-dimensional spin vectors satisfying Poincare inequality via martingale embedding, with 2-Wasserstein error bounds involving two- and three-point functions, and applications to Ising and SK models.
Sub-critical Exponential random graphs: Concentration of measure and some applications[J]
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Central limit theorem for high temperature spin models via martingale embedding
A non-asymptotic CLT is proved for projections of high-dimensional spin vectors satisfying Poincare inequality via martingale embedding, with 2-Wasserstein error bounds involving two- and three-point functions, and applications to Ising and SK models.