NEW SOLVABLE MATRIX INTEGRALS

  • A. YU. ORLOV
    Oceanology Institute, Nahimovskii prospect 36, Moscow, Russia

書誌事項

公開日
2004-05
DOI
  • 10.1142/s0217751x04020476
公開者
World Scientific Pub Co Pte Ltd

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説明

<jats:p>We generalize the Harish-Chandra-Itzykson-Zuber and certain other integrals (the Gross-Witten integral, the integrals over complex matrices and the integrals over rectangle matrices) using a notion of the tau function of the matrix argument. In this case one can reduce multi-matrix integrals to integrals over eigenvalues, which in turn are certain tau functions. We also consider a generalization of the Kontsevich integral.</jats:p>

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