无穷远同构于齐次树的图的散射理论
Scattering theory for graphs isomorphic to a homogeneous tree at infinity
摘要：
本文描述了无穷远同构于齐次树的图的邻接算子的谱理论。使用一些组合，我们减少了问题的散射问题的有限秩扰动的邻接算子的齐次树。我们发展这个散射理论使用经典配方薛定谔算子在欧几里得空间。
英文摘要：
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 Schrödinger operators in Euclidian spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
