Sharp diameter bound on the spectral gap for quantum graphs

Autor:	Borthwick, David, Corsi, Livia, Jones, Kenny
Rok vydání:	2019
Předmět:	Mathematics - Spectral Theory 34B45 81Q35
Druh dokumentu:	Working Paper
Popis:	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. Comment: 11 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.03071 Zobrazit plný text záznamu View this record from Arxiv