On the determinant formulas by Borodin, Okounkov, Baik, Deift, and Rains

2001/01/01 by A. Boettcher, Boettcher, A. · 1 citation
Mathematics · #47B35 #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #math.CO #math.FA #msc:47B35

paper · pdf · doi:10.48550/arxiv.math/0101008

10 pages

arxiv created 2001/01/01 · arxiv updated 2009/11/30

Abstract

We give alternative proofs to (block case versions of) some formulas for Toeplitz and Fredholm determinants established recently by the authors of the title. Our proof of the Borodin-Okounkov formula is very short and direct. The proof of the Baik-Deift-Rains formulas is based on standard manipulations with Wiener-Hopf factorizations.

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