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math.PR2023
On pseudospectrum of inhomogeneous non-Hermitian random matrices
Konstantin Tikhomirov
Let be an matrix with mutually independent centered Gaussian entries. Define \begin{align*} σ^*:=\max\limits_{i,j\leq n}\sqrt{{\mathbb E}\,|A_{i,j}|^2}, \quad σ:=\m…
math.MG2023
On the probability that convex hull of random points contains the origin
Konstantin Tikhomirov
The classical theorem of Wendel provides an exact formula for the probability that the convex hull of independent symmetrically distributed vectors in contains the…