English

Polynomials on cyclic monotone elements with applications to random matrices with discrete spectrum

Probability 2019-08-05 v1 Operator Algebras

Abstract

We provide a generalization and new proofs of the formulas of Collins, Hasebe and Sakuma for the spectrum of polynomials in cyclic monotone elements. This is applied to random matrices with discrete spectrum.

Keywords

Cite

@article{arxiv.1908.00562,
  title  = {Polynomials on cyclic monotone elements with applications to random matrices with discrete spectrum},
  author = {Octavio Arizmendi and Adrian Celestino},
  journal= {arXiv preprint arXiv:1908.00562},
  year   = {2019}
}

Comments

18 pages, 4 figuures

R2 v1 2026-06-23T10:37:38.314Z