On the norm of a random jointly exchangeable matrix

@article{Tikhomirov2018OnTN,
  title={On the norm of a random jointly exchangeable matrix},
  author={Konstantin E. Tikhomirov and Pierre Youssef},
  journal={Journal of Theoretical Probability},
  year={2018},
  pages={1-16}
}
In this note, we show that the norm of an $$n\times n$$n×n random jointly exchangeable matrix with zero diagonal can be estimated in terms of the norm of its $$\lfloor n/2\rfloor \times \lfloor n/2\rfloor $$⌊n/2⌋×⌊n/2⌋ submatrix located in the top right corner. As a consequence, we prove a relation between the second largest singular values of a random matrix with constant row and column sums and its top right $$\lfloor n/2\rfloor \times \lfloor n/2\rfloor $$⌊n/2⌋×⌊n/2⌋ submatrix. The result… Expand
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