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Studying the Asymptotics of Selberg-Type Integrals

In: Applied and Industrial Mathematics, Venice—2, 1998

Author

Listed:
  • David Reed

    (Duke University, Department Of Mathematics)

  • Stephanos Venakides

    (Duke University, Department Of Mathematics)

Abstract

This paper presents an argument in favor of the analysis of a certain integral, which we like to call a “Selberg-Type Integral.” We wish first to show how this integral has come to be involved in a rather bewildering variety of mathematical and physical theories, including the theory of random matrices, the theory of CalogeroSutherland models, the Fractional Quantum Hall effect, the topology of the moduli space of algebraic curves and certain ideas in number theory.

Suggested Citation

  • David Reed & Stephanos Venakides, 2000. "Studying the Asymptotics of Selberg-Type Integrals," Springer Books, in: Renato Spigler (ed.), Applied and Industrial Mathematics, Venice—2, 1998, pages 187-198, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-4193-2_11
    DOI: 10.1007/978-94-011-4193-2_11
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