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Localization of interacting random particles with power-law long-range hopping

Mathematical Physics 2025-03-26 v1 Dynamical Systems math.MP Probability

Abstract

In this paper, we study the interacting random particles with power-law long-rang hopping. Via the multi-scale analysis arguments for the Green's function, we establish the power-law localization for all energy with strong disorder.

Keywords

Cite

@article{arxiv.2503.19432,
  title  = {Localization of interacting random particles with power-law long-range hopping},
  author = {Wenwen Jian and Yingte Sun},
  journal= {arXiv preprint arXiv:2503.19432},
  year   = {2025}
}

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27 pages