Decay of Correlations for Long range Ising models at low temperatures
Holder： Lucas Affonso（University of São Paulo and NYU Shanghai）
Time：2026-04-27 15:00-16:00
Location：Siyuan Lecture Hall，Zhi Hua Building-225
Abstract:
Long-range Ising systems display phase coexistence and correlation decay behaviors that are markedly different from those in finite-range models, and remain comparatively less understood. In this talk, I will discuss recent results for ferromagnetic Ising models with interactions of the form \(J_{xy} \sim |x-y|^{-\alpha}\), with \(\alpha > d\), focusing on the decay of truncated two-point correlations at low temperatures. The main ingredient is a multiscale contour framework, designed to effectively treat long-range interactions, combined with a cluster expansion tailored to this setting. I will explain how these methods yield algebraic decay of correlations, with exponents governed by the interaction, and comment on further contexts where contour techniques may be applicable.
About the Speaker:
Lucas Affonso is a postdoctoral researcher at IME-USP, Brazil. He is currently a visiting postdoctoral fellow at NYU-Shanghai under the supervision of Roberto Fernández. His research interests lie in equilibrium classical and quantum statistical mechanics, with a particular focus on systems with long range interactions.
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