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On the Determinant Formulas by Borodin, Okounkov, Baik, Deift and Rains

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Toeplitz Matrices and Singular Integral Equations

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 135))

Abstract

We give alternative proofs to (block case versions of) some formulas for Toeplitz and Fredholm determinants established recently by the authors listed in 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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References

  1. J. Baik, P. Deift, and E.M. Rains, A Fredholm determinant identity and the convergence of moments for random Young tableaux. Comm. Math. Phys., 223 (2001), 627–672.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, TU Chemnitz, D-09107, Chemnitz, Germany

    Albrecht Böttcher

Authors
  1. Albrecht Böttcher
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Editor information

Editors and Affiliations

  1. Faculty of Mathematics, Technical University Chemnitz, 09107, Chemnitz, Germany

    Albrecht Böttcher  & Peter Junghanns  & 

  2. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

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© 2002 Springer Basel AG

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Böttcher, A. (2002). On the Determinant Formulas by Borodin, Okounkov, Baik, Deift and Rains. In: Böttcher, A., Gohberg, I., Junghanns, P. (eds) Toeplitz Matrices and Singular Integral Equations. Operator Theory: Advances and Applications, vol 135. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8199-9_6

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  • DOI: https://doi.org/10.1007/978-3-0348-8199-9_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9471-5

  • Online ISBN: 978-3-0348-8199-9

  • eBook Packages: Springer Book Archive

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