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<p>We examine the discrete Laplacian acting on a triangular lattice, introducing long-range perturbations to both the metric and the potential. Our goal is to establish a Limiting Absorption Principle away from possible embedded eigenvalues. Our study relies on a positive commutator technique.</p>

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Limiting Absorption Principle for long-range perturbation in the discrete triangular lattice setting

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • Nassim Athmouni,
  • Marwa Ennaceur,
  • Sylvain Golénia,
  • Amel Jadlaoui

摘要

We examine the discrete Laplacian acting on a triangular lattice, introducing long-range perturbations to both the metric and the potential. Our goal is to establish a Limiting Absorption Principle away from possible embedded eigenvalues. Our study relies on a positive commutator technique.