2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.CO2022★ 2 cited
Generic Laplace eigenfunctions on metric graphs
Lior Alon
It is known that up to certain pathologies, a compact metric graph with standard vertex conditions has a Baire-generic set of choices of edge lengths such that all Laplacian eigenv…
math-ph2020
Quantum graphs -- Generic eigenfunctions and their nodal count and Neumann count statistics
Lior Alon
In this thesis, we study Laplacian eigenfunctions on metric graphs, also known as quantum graphs. We restrict the discussion to standard quantum graphs. These are finite connected…
math.SP2018
Neumann Domains on Graphs and Manifolds
Lior Alon, Ram Band, Michael Bersudsky +1
The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. Another natural partition is based on the gradient vector field of the eigenfuncti…