We consider a class of random banded Hessenberg matrices with independent entries having identical distributions along diagonals. The may be different for belonging to For sequence $$n\times n$$ in the considered, we investigate asymptotic behavior their empirical spectral distribution as n tends infinity.

Spectral sequences are a powerful bookkeeping tool, used to handle large amounts of information. As such, they have become nearly ubiquitous in algebraic topology and algebraic geometry. In this paper, we take a few results on faith (i.e., without proof, pointing to books in which proof may be found) in order to streamline and simplify the exposition. From the exact couple formulation of spectr...