9 citations · 29 across the 15 of their papers we have counts for
4 papers · 1 filter
Scattering resonances of large weakly open quantum graphs
Maxime Ingremeau
In this paper, we consider a sequence of open quantum graphs, with uniformly bounded data, and we are interested in the asymptotic distribution of their scattering resonances. Supp…
How Lagrangian states evolve into random waves
Maxime Ingremeau, Alejandro Rivera
In this paper, we consider a compact manifold of negative curvature, and a family of semiclassical Lagrangian states on . For a wide…
Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We introduce the notion of Benjamini-Schramm convergence for quantum graphs. This notion of convergence, intended to play the role of the already existing notion for discrete graph…
Absolutely Continuous Spectrum for Quantum Trees
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We study the spectra of quantum trees of finite cone type. These are quantum graphs whose geometry has a certain homogeneity, and which carry a finite set of edge lengths, coupling…