15 citations · 35 across the 16 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math.PR2018
Spectrum of random perturbations of Toeplitz matrices with finite symbols
Anirban Basak, Elliot Paquette, Ofer Zeitouni
Let denote an Toeplitz matrix with finite, independent symbol . For a noise matrix satisfying mild assumptions (ensuring, in particular, that $…
math.PR2018★ 1 cited
Sharp transition of the invertibility of the adjacency matrices of sparse random graphs
Anirban Basak, Mark Rudelson
We consider three different models of sparse random graphs:~undirected and directed Erdős-Rényi graphs, and random bipartite graph with an equal number of left and right vertices.…