![Summer Cluster: Error-Correcting Codes and High-Dimensional Expansion](/sites/default/files/styles/workshop_banner_sm_1x/public/2024-05/HDX%26ECC_RGB.jpg?h=45b37eaa&itok=2hTEgJSY)
Abstract
In this talk we give an alternative characterization for high dimensional expanders through high dimensional random walks. We will describe the Up and Down operators, and show a spectral condition on them that is equivalent to link expansion. We will discuss an approximate Fourier decomposition for functions on high dimensional expanders.