Characters of the symmetric groups and correlation functions of point processes

Functional Analysis and its Applications

Volumn 34, Issue 1, 2000, Pages 10-23

  Borodin, A M ^a,b  

^a INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0348014381     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02467063     Document Type: Article

References (14)

1. A. Borodin and G. Olshanski, "Point processes and the infinite symmetric group," Math. Res. Lett., 5, 799-816 (1998) (preprint version: http://xxx.lanl.gov/abs/math/9810015).
2. A. Borodin and G. Olshanski, In preparation.
3. A. M. Versink and S. V. Kerov, "Asymptotic theory of the characters of a symmetric group," Funkts. Anal. Prilozhen., 15, No. 4, 15-27 (1981).
4. D. J. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes, Springer Series in Statistics, Springer-Verlag, 1988.
5. S. Kerov, A. Okounkov, and G. Olshanski, "The boundary of Young graph with Jack edge multiplicities," Intern. Math. Res. Notices, 4, 173-199 (1998) (preprint version: http://xxx.lanl.gov/abs/q-alg/ 9703037).
6. S. Kerov, G. Olshanski, and A. Vershik, "Harmonic analysis on the infinite symmetric group. A deformation of the regular representation," C. R. Acad. Sci. Paris, Sér. I, 316, 773-778 (1993).
7. I. G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd edition, Oxford University Press, 1995.
8. G. I. Olshanski, "Unitary representations of (G, K)-pairs connected with the infinite symmetric group S(∞)," Algebra Analiz, 1, No. 4, 178-209 (1989).
9. G. Olshanski, Point Processes and the Infinite Symmetric Group. Part I: The General Formalism and the Density Function, Preprint, 1998, http://xxx.lanl.gov/abs/math/9804086.
10. A. Borodin, Point Processes and the Infinite Symmetric Group. Part II: Higher Correlation Functions, Preprint, 1998, http://xxx.lanl.gov/abs/math/9804087.
11. A. Borodin and G. Olshanski, Point Processes and the Infinite Symmetric Group. Part III: Fermion Point Processes, Preprint, 1998, http://xxx.lanl.gov/abs/math/9804088.
12. A. Borodin, Point Processes and the Infinite Symmetric Group. Part IV: Matrix Whittaker Kernel, Preprint, 1998, http://xxx.lanl.gov/abs/math/9810013.
13. G. Olshanski, Point Processes and the Infinite Symmetric Group. Part V: Analysis of the Matrix Whittaker Kernel, Preprint, 1998, http://xxx.lanl.gov/abs/math/9810014.
14. E. Thoma, "Die unzerlegbaren, positive-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe," Math. Z., 85, 40-61 (1964).