Speaker: 黄逸超，北京理工大学

Inviter: 随机分析研究中心

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

Language: Chinese

Time & Venue: 2025.10.24 15:00-16:00 南楼N613

Abstract: It is known since the work of Sabot-Tarrès that the H2|2 supersymmetric hyperbolic 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 on the hierarchical lattice. Using these information one can construct probabilistically the 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).