On a conjecture of Widom

Details On a conjecture of Widom On a conjecture of Widom

2005-08-26

arxiv.org/abs/math/0508537v1

Mathematics

Combinatorics

9 pages

Scientific paper

10.1088/0305-4470/39/28/S07

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.

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