3 papers
math.PR2026
Critical Erd{\H o}s-Rényi digraph: all eigenvectors away from zero are delocalized
Johannes Alt, Sarah Timhadjelt
We consider the adjacency matrix of the directed Erd{\H o}s-Rényi graph. As long as the expected degree is larger than the logarithm of the number of vertices, the graph is connec…
math.PR2026
Spectral gap of convex combination of a random permutation and a bistochastic matrix
Sarah Timhadjelt
We study the spectral gap behavior of an operator obtained by summing a random permutation and a deterministic bistochastic matrix . We are interested in the asymptotic in t…
math.PR2025
Non-Hermitian expander obtained with Haar distributed unitaries
Sarah Timhadjelt
We consider a random quantum channel obtained by taking a selection of independent and Haar distributed dimensional unitaries. We follow the argument of Hastings to bound t…