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On a conjecture of Widom

Alexei Borodin·Alexei Novikov
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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.

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Alexei Borodin, Alexei Novikov. 2005-08-26. On a conjecture of Widom. https://doi.org/10.1088/0305-4470%2F39%2F28%2Fs07

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