We study perturbations of the discrete Laplacian associated to discrete analogs of cusps and funnels. We perturb the metric and the potential in a long-range way. We establish a propagation estimate and a Limiting Absorption Principle away from the possible embedded eigenvalues. The approach is based on a positive commutator technique.

中文翻译：

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拉普拉斯算子作用于离散杯和漏斗的光谱分析

我们研究与尖头和漏斗的离散类似物相关的离散拉普拉斯算子的摄动。我们会长期干扰指标和潜力。我们建立了可能的嵌入特征值之外的传播估计和极限吸收原理。该方法基于正换向器技术。