LIMITING ABSORPTION PRINCIPLE FOR LONG-RANGE PERTURBATION IN THE DISCRETE TRIANGULAR LATTICE SETTING
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en
Document de travail - Pré-publication
Resumen en inglés
We study the discrete Laplacian acting on a triangular lattice. We perturb the metric and the potential in a long-range way. We aim at proving a Limiting Absorption Principle away the possible embedded eigenvalues. The ...Leer más >
We study the discrete Laplacian acting on a triangular lattice. We perturb the metric and the potential in a long-range way. We aim at proving a Limiting Absorption Principle away the possible embedded eigenvalues. The approach is based on a positive commutator technique.< Leer menos
Palabras clave en inglés
Commutator
Mourre estimate
Limiting Absorption Principle
Discrete Laplacian
Triangular lattice
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