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math.PR2026
Gaussian Convolution, Internal Energies, and the Kneser--Poulsen Conjecture
Gautam Aishwarya, Dongbin Li
We study to what extent the majorisation order between a probability measure and its -Lipschitz image is preserved when both measures undergo Gaussian convolution. We show that…
math.PR2026
Least singular values of shifted sparse random combinatorial matrices
Dongbin Li, Alexander E. Litvak, Tingzhou Yu
Let be an random matrix with entries in , where each row is independently and uniformly sampled from the set of all vectors in containing e…