On a conjecture of Widom
Borodin, Alexei ; Novikov, Alexei
arXiv, 0508537 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-08-26
Classification:  Mathematics - Combinatorics,  Mathematical Physics 
@article{0508537,
     author = {Borodin, Alexei and Novikov, Alexei},
     title = {On a conjecture of Widom},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508537}
}

Borodin, Alexei; Novikov, Alexei. On a conjecture of Widom. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508537/