2 papers
math.SP2026
Two escape rates for negative eigenvalues of quantum graphs with a shrinking core
Gregory Berkolaiko, Denis Borisov, Marshall King +1
We study the negative spectrum of the Laplacian on a metric graph with general vertex matching conditions and with two length scales: a compact core whose edges have length of orde…
math-ph2025
The Loring--Schulz-Baldes Spectral Localizer Revisited
Gregory Berkolaiko, Jacob Shapiro, Beyer Chase White
The spectral localizer, introduced by Loring in 2015 and Loring and Schulz-Baldes in 2017, is a method to compute the (infinite volume) topological invariant of a quantum Hamiltoni…