Sharp diameter bound on the spectral gap for quantum graphs

Series
Math Physics Seminar
Time
Monday, September 30, 2019 - 4:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Kenny Jones – Emory – wesley.kenderdine.jones@emory.edu
Organizer
Federico Bonetto

We establish an upper bound on the spectral gap for compact quantum graphs which depends only on the diameter and total number of vertices. This bound is asymptotically sharp for pumpkin chains with number of edges tending to infinity. This is a joint work with D. Borthwick and L. Corsi.