Scaling limit of the H2|2 model on the hierarchical lattices

Speaker: 黄逸超（北京理工大学）

Title: Scaling limit of the H2|2 model on the hierarchical lattices

Inviter: 随机分析研究中心

Time & Venue: 2025 年10月24日15:00–16:00 南楼613

Abstract: It is known since the work of Sabot-Tarrès that the H2|2 supersymmetrichyperbolic sigma model is connected to the so-called reinforced Markov processes. I will give a brief overview of some of the recent progress on the vertex reinforced jump process on the Dyson hierarchical lattice. Especially, I will review its connection to a special family of random Schrödinger operator,and describe some exact renormalization procedures that one can perform onthe hierarchical lattice. Using these information one can construct probabilisticallythe scaling limit of the H2|2 model on the hierarchical lattice, and we will discuss some basic properties of this random limit. This is an ongoing joint work with Jinglin Wang and Xiaoling Zeng (Strasbourg).