@article{15013,
  abstract     = {We consider random n×n matrices X with independent and centered entries and a general variance profile. We show that the spectral radius of X converges with very high probability to the square root of the spectral radius of the variance matrix of X when n tends to infinity. We also establish the optimal rate of convergence, that is a new result even for general i.i.d. matrices beyond the explicitly solvable Gaussian cases. The main ingredient is the proof of the local inhomogeneous circular law [arXiv:1612.07776] at the spectral edge.},
  author       = {Alt, Johannes and Erdös, László and Krüger, Torben H},
  issn         = {2690-1005},
  journal      = {Probability and Mathematical Physics},
  number       = {2},
  pages        = {221--280},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{Spectral radius of random matrices with independent entries}},
  doi          = {10.2140/pmp.2021.2.221},
  volume       = {2},
  year         = {2021},
}