On a conjecture of Widom
Combinatorics
2009-11-11 v1 Mathematical Physics
math.MP
Abstract
We prove a conjecture of H.Widom stated in [W] (math/0108008) about the reality of eigenvalues of certain infinite matrices arising in asymptotic analysis of large Toeplitz determinants. As a byproduct we obtain a new proof of A.Okounkov's formula for the (determinantal) correlation functions of the Schur measures on partitions.
Cite
@article{arxiv.math/0508537,
title = {On a conjecture of Widom},
author = {Alexei Borodin and Alexei Novikov},
journal= {arXiv preprint arXiv:math/0508537},
year = {2009}
}
Comments
9 pages