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Power law logarithmic bounds of moments for long range operators in arbitrary dimension

Mathematical Physics 2023-04-05 v1 math.MP Spectral Theory

Abstract

We show that the sublinear bound of the bad Green's functions implies explicit logarithmic bounds of moments for long range operators in arbitrary dimension.

Keywords

Cite

@article{arxiv.2212.02411,
  title  = {Power law logarithmic bounds of moments for long range operators in arbitrary dimension},
  author = {Wencai Liu},
  journal= {arXiv preprint arXiv:2212.02411},
  year   = {2023}
}

Comments

Dedicated to Abel Klein on the occasion of his 75th birthday