We consider a sequence of open quantum graphs, with uniformly bounded data, and
we are interested in the asymptotic distribution of their scattering resonances.
Supposing that the number of leads in our quantum graphs is small compared to the
total number of edges, we show that most resonances are close to the real axis. More
precisely, the asymptotic distribution of resonances of our open quantum
graphs is the same as the asymptotic distribution of the square root of the
eigenvalues of the closed quantum graphs obtained by removing all the leads.
Keywords
quantum graphs, scattering resonances, scattering theory
