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Marginal distribution of an arbitrary square submatrix of the S-matrix for Dyson's measure

W A Friedman and P A Mello

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In a previous paper, (Pereyra and Mello 1983), the marginal distribution of one and two-dimensional submatrices of the S-matrix was obtained, assuming Dyson's measure for the full n-dimensional S (Dyson's measure is the invariant volume element for unitary and symmetric matrices). Here the authors generalise the previous results and obtain the distribution of a square submatrix of arbitrary dimensionality m<or=n/2.


PACS

02.10.Yn Matrix theory

02.30.Cj Measure and integration

MSC

28C10 Set functions and measures on topological groups, Haar measures, invariant measures (See also 22Axx, 43A05)

15A90 Applications of matrix theory to physics

Subjects

Mathematical physics

Dates

Issue 3 (21 February 1985)



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