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math.CO2020
A nonuniform Littlewood-Offord inequality for all norms
Kyle Luh, David Xiang
Let be vectors in and be independent Rademacher random variables. Then the Littlewood-Offord problem entails finding the best uppe…
math.PR2020
Eigenvectors and controllability of non-Hermitian random matrices and directed graphs
Kyle Luh, Sean O'Rourke
We study the eigenvectors and eigenvalues of random matrices with iid entries. Let be a random matrix with iid entries which have symmetric distribution. For each unit eigenvec…
quant-ph2020
How fast do quantum walks mix?
Shantanav Chakraborty, Kyle Luh, Jérémie Roland
The fundamental problem of sampling from the limiting distribution of quantum walks on networks, known as \emph{mixing}, finds widespread applications in several areas of quantum i…