A note on Wiener-Hopf determinants and the Borodin-Okounkov identity

Integral Equations and Operator Theory

Volumn 45, Issue 3, 2003, Pages 301-308

  Basor, Estelle L ^a   Chen, Yang ^b  

^a CALIFORNIA POLYTECHNIC STATE UNIVERSITY   (United States)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Determinant; Wiener Hopf

Indexed keywords

EID: 0037257842     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000200300006     Document Type: Article

References (11)

1. E. Basor, H Widom, On a Toeplitz Identity of Borodin and Okounkov, Integral Equations and Operator Theory, 37, (2002) 397-401.
2. I.S. Gradshteyn, I.M. Ryzhik, Table of integrals, series, and products, Fifth Edition, Academic Press, New York, 1994.
3. A. Böttcher, On the determinant formulas by Borodin, Okounkov, Baik, Deift and Rains, FA/0101008.
4. A. Böttcher and B. Silbermann, Analysis of Toeplitz Operators, Springer-Verlag, Berlin, 1990.
5. M. Jimbo, T. Miwa, Y. Mori and M. Sato, Density matrix of an inpenetrable Base gas and the fifth Painlevé transcendent, Physica ID, (1980) 80-158.
6. V. E. Korepin, N. M. Bogoliubov and A. G. Izergin, Quantum inverse scattering methods and correlation functions, Cambridge University Press, 1997.
7. N. D. Lawrence, Random Matrices and Orthogonal Polynomials, Ph. D. Thesis, University of London, 2001, Chapter 4, unpublished.
8. K. A. Muttalib, Y. Chen, M. E. H. Ismail and V. N. Nicopoulos, A New Family of Unitary Random Matrices, Phys. Rev. Lett., 71, (1993) 471-475.
9. S. M. Nishigaki, Level spacing distribution of critical random matrix ensembles, Phys. Rev. E 58 (1998) 6915-6918.
10. C. A. Tracy and H. Widom, Introduction to random matrices in Geometric and quantum aspects of integrable systems, ed. G. F. Helminck, Springer Lecture Notes in Physics Vol. 424 (1993) 103-130.
11. C. A. Tracy and H. Widom, Fredholm determinants, differential equations and matrix models, Commun. Math. Phys. 163 (1994) 289-310.