43 citations · 172 across the 24 of their papers we have counts for
Showing 2012 · math-phShow all
3 papers · 2 filters
math-ph2012
The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface
Louis Boutet De Monvel, Yves Colin De Verdière
We consider a smooth hyper-surface Z of a closed Riemannian manifold X. Let P be the Poisson operator associating to a smooth function on Z its harmonic extension on X\Z. If A is a…
math-ph2012
Scattering theory for graphs isomorphic to a homogeneous tree at infinity
Yves Colin De Verdière, Francoise Truc
We describe the spectral theory of the adjacency operator of a graph which is isomorphic to homogeneous trees at infinity. Using some combinatorics, we reduce the problem to a scat…
math-ph2012★ 36 cited
Magnetic interpretation of the nodal defect on graphs
Yves Colin De Verdière
In this note, we present a natural proof of a recent and surprising result of Gregory Berkolaiko (arXiv 1110.5373) interpreting the "Courant nodal defect" of a Schrödinger operator…