2 papers
math.CO2020
Laplacian Fractional Revival on Graphs
Ada Chan, Bobae Johnson, Mengzhen Liu +3
We develop the theory of fractional revival in the quantum walk on a graph using its Laplacian matrix as the Hamiltonian. We first give a spectral characterization of Laplacian fra…
math.NT2020
Explicit Burgess Bound for Composite Moduli
Niraek Jain-Sharma, Tanmay Khale, Mengzhen Liu
We prove an explicit version of Burgess' bound on character sums for composite moduli.