Abstract
We prove a conjecture of Widom (2002 Int. Math. Res. Not. 455-64 (Preprint 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 Okounkov's formula for the (determinantal) correlation functions of the Schur measures on partitions.
Original language | English (US) |
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Article number | S07 |
Pages (from-to) | 8895-8903 |
Number of pages | 9 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 39 |
Issue number | 28 |
DOIs | |
State | Published - Jul 14 2006 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)