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Random Matrix Theory with an External Source

Random Matrix Theory with an External Source

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  • Forlagets pris kr. 619,95
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Bog, paperback (kr. 444,95)
  1. Beskrivelse

    This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. 1 Paperback XII, 138 p.

    Udgivelsesdato:
    17-01-2017
    Leveringstid:
    2-3 hverdage
    Rating:
    (0)
  2. Yderligere info
    Udgivelsesdato:
    17-01-2017
    Sprog:
    Engelsk
    ISBN13:
    9789811033155
    Sidetal:
    120
    Vægt:
    244
    Højde:
    8
    Bredde:
    155
    Længde:
    235
    Nummer i serien:
    19
    Mærkat:
    Bog, paperback
    Format:
    Paperback
    Udgave:
    1st ed. 2016
    • Bibliotekernes beskrivelse

      This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random matrix models in the presence of a deterministic matrix source. In such models the correlation functions are known exactly for an arbitrary source and for any size of the matrices. The freedom given by the external source allows for various tunings to different classes of universality. The main interest is to use this freedom to compute various topological invariants for surfaces such as the intersection numbers for curves drawn on a surface of given genus with marked points, Euler characteristics, and the Gromov-Witten invariants. A remarkable duality for the average of characteristic polynomials is essential for obtaining such topological invariants. The analysis is extended to nonorientable surfaces and to surfaces with boundaries.

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Random Matrix Theory with an External Source