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تسجيل مستخدم جديدScattering theory for graphs isomorphic to a homogeneous tree at infinity
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تأليف
Yves Colin De Verdi`ere
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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 scattering problem for a finite rank perturbation of the adjacency operator on an homogeneous tree. We developp this scattering theory using the classical recipes for Schrodinger operators in Euclidian spaces.
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