Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph

Author:

Berkolaiko GregoryORCID,Liu Wen

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference20 articles.

1. The nodal count {0,1,2,3,…} implies the graph is a tree;Band;Philos. Trans. R. Soc. Lond. Ser. A,2014

2. Dynamics of nodal points and the nodal count on a family of quantum graphs;Band;Ann. Henri Poincaré,2012

3. Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs;Band;J. Math. Phys.,2015

4. Nodal domains on graphs—how to count them and why?;Band,2008

5. On the level spacing distribution in quantum graphs;Barra;J. Stat. Phys.,2000

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