Sharp diameter bound on the spectral gap for quantum graphs
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- by David Borthwick, Livia Corsi and Kenny Jones PDF
- Proc. Amer. Math. Soc. 149 (2021), 2879-2890 Request permission
Abstract:
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.References
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Additional Information
- David Borthwick
- Affiliation: Department of Mathematics, Emory University, Atlanta, Georgia 30322
- MR Author ID: 328585
- Email: dborthw@emory.edu
- Livia Corsi
- Affiliation: Dipartimento di Matematica e Fisica, Università di Roma Tre, Rome, I-00146, Italy
- MR Author ID: 857630
- Email: lcorsi@mat.uniroma3.it
- Kenny Jones
- Affiliation: Department of Mathematics, Emory University, Atlanta, Georgia 30322
- Email: wesley.kenderdine.jones@emory.edu
- Received by editor(s): December 2, 2019
- Received by editor(s) in revised form: February 29, 2020
- Published electronically: April 29, 2021
- Communicated by: Tanya Christiansen
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 2879-2890
- MSC (2020): Primary 34B45, 81Q35
- DOI: https://doi.org/10.1090/proc/15090
- MathSciNet review: 4257802