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math.PR2026
Universality for the extreme eigenvalues of Laplacian random matrices
Andrew Campbell, Kyle Luh, Sean O'Rourke
We study the eigenvalues of the random Laplacian matrix , where is a Wigner matrix with sub-Gaussian entries and the diagonal matrix contains the row sums of . Ou…
math.PR2026
Linear Independence of Random Boolean Tensor Powers at the Dimension Threshold
Kyle Luh
Let be fixed and let \[ D(n,d) := \sum_{j=0}^{d} \binom{n-1}{j}. \] We show that if are independent uniform points of then unifor…