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Janossy Densities. II. Pfaffian Ensembles

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Abstract

We extend the main result of the companion paper J. Stat. Phys. 113:595–610 to the case of the pfaffian ensembles.

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REFERENCES

  1. A. Borodin, Biorthogonal ensembles, Nucl. Phys. B 536:704–732 (1999).

    Google Scholar 

  2. A. Borodin and G. Olshanski, Distributions on partitions, point processes, and the hypergeometric kernel, Commun. Math. Phys. 211:335–358 (2000).

    Google Scholar 

  3. A. Borodin and A. Soshnikov, Janossy densities. I. Determinantal ensembles, J. Stat. Phys. 113:595–611 (2003).

    Google Scholar 

  4. D. J. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes (Springer-Verlag, New York, 1988).

    Google Scholar 

  5. C. D. Godsil, Algebraic Combinatorics (Chapman & Hall, New York, 1993).

    Google Scholar 

  6. M. L. Mehta, Random Matrices (Academic Press, New York, 1991).

    Google Scholar 

  7. K. A. Muttalib, Random matrix models with additional interactions, J. Phys. A 285:L159(1995).

    Google Scholar 

  8. G. Olshanski, Pfaffian processes, unpublished note (2002).

  9. E. Rains, Correlation functions for symmetrized increasing subsequences, available at arXiv:math.CO/0006097.

  10. A. Soshnikov, Determinantal random point fields, Russian Math. Surveys 55:923–975 (2000).

    Google Scholar 

  11. C. A. Tracy and H. Widom, Correlation functions, Cluster functions, and spacing distributions for random matrices, J. Stat. Phys. 92:809–835 (1998).

    Google Scholar 

  12. H. Widom, On the relation between orthogonal, symplectic and unitary matrix ensembles, J. Stat. Phys. 94:347–363 (1999).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California at Davis, One Shields Ave., Davis, California, 95616

    Alexander Soshnikov

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  1. Alexander Soshnikov
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Soshnikov, A. Janossy Densities. II. Pfaffian Ensembles. Journal of Statistical Physics 113, 611–622 (2003). https://doi.org/10.1023/A:1026077020147

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