K. Luh

activity

20112022

most citedMartingale Couplings and Bounds on the Tails of Probability Distributions

1 citations · 2 across the 5 of their papers we have counts for

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Showing 2018Show all

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math.PR2018

Eigenvector Delocalization for Non-Hermitian Random Matrices and Applications

Kyle Luh, Sean O'Rourke

Improving upon results of Rudelson and Vershynin, we establish delocalization bounds for eigenvectors of independent-entry random matrices. In particular, we show that with high pr…

math.PR2018

Sparse Random Matrices have Simple Spectrum

Kyle Luh, Van Vu

Let $M_{n}$ be a class of symmetric sparse random matrices, with independent entries $M_{ij} = δ_{ij} ξ_{ij}$ for $i \leq j$ . $δ_{ij}$ are i.i.d. Bernoulli random variables taking th…