Speaker
Jiyun Park (Stanford)
Date
Fri, Apr 18 2025, 4:00pm
Location
383N
Title: The hierarchical model
Abstract: We cover Chapter 4 of "Introduction to a Renormalisation Group Method". Motivated by the finite-range decomposition of Euclidean GFFs, we introduce the hierarchical GFF (hGFF) model. After discussing its construction and properties, we also define the hierarchical |\phi|^4 model and its connection with the hGFF. We conclude by stating the main theorem of this book, Theorem 4.2.1. Along the way, we also recall relevant notation and properties of Gaussian fields (Chapter 2).