Corpus ID: 211252815

Eigenvector Statistics of L\'{e}vy Matrices

@article{Aggarwal2020EigenvectorSO,
  title={Eigenvector Statistics of L\'\{e\}vy Matrices},
  author={A. Aggarwal and Patrick Lopatto and J. Marcinek},
  journal={arXiv: Probability},
  year={2020}
}
We analyze statistics for eigenvector entries of heavy-tailed random symmetric matrices (also called Levy matrices) whose associated eigenvalues are sufficiently small. We show that the limiting law of any such entry is non-Gaussian, given by the product of a normal distribution with another random variable that depends on the location of the corresponding eigenvalue. Although the latter random variable is typically non-explicit, for the median eigenvector it is given by the inverse of a one… Expand
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References

SHOWING 1-10 OF 88 REFERENCES
Eigenvector Statistics of Sparse Random Matrices
  • 34
  • Highly Influential
  • PDF
Random matrices: Universal properties of eigenvectors
  • 86
  • PDF
Eigenvector distribution of Wigner matrices
  • 91
  • PDF
Delocalization at Small Energy for Heavy-Tailed Random Matrices
  • 9
  • Highly Influential
  • PDF
Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices
  • 27
  • PDF
Central limit theorem for eigenvectors of heavy tailed matrices
  • 15
  • PDF
The Spectrum of Heavy Tailed Random Matrices
  • 74
  • PDF
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