11 citations · 12 across the 3 of their papers we have counts for
3 papers
math.SP2022
Spectrally grown graphs
Mats-Erik Pistol, Pavel Kurasov
Quantum graphs have attracted attention from mathematicians for some time. A quantum graph is defined by having a Laplacian on each edge of a metric graph and imposing boundary con…
math.SP2021★ 1 cited
Always detectable eigenfunctions on metric graphs
Pavel Kurasov
It is proven following [18[ that Laplacians with standard vertex continuous on metric trees and with standard and Dirichlet conditions on arbitrary metric graphs possess an infinit…
math-ph2017★ 11 cited
Quantum Graphs: -symmetry and reflection symmetry of the spectrum
P. Kurasov, B. Majidzadeh Garjani
Not necessarily self-adjoint quantum graphs -- differential operators on metric graphs -- are considered. Assume in addition that the underlying metric graph possesses an automorph…