Pieter Spaas

Spectral Theory and Descriptive Combinatorics for Non-Regular Borel pmp Graphs

We continue the systematic study initiated in arXiv:2602.05185 of the relationship between the spectral theory and descriptive combinatorics of bounded-degree Borel pmp graphs, particularly in the non-regular setting. We first adapt a classical result of Nikiforov to give a new spectral lower bound on the approximate m...