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摘要
Random matrix models of disordered bosons consist of matrices in the Lie algebra g = sp(n)(R). Assuming dynamical stability, their eigenvalues are required to be purely imaginary. Here, a method is proposed for constructing ensembles (epsilon, P) of G-invariant sets epsilon of such matrices with probability measures P. These arise as moment map direct images from phase spaces X which play an important role in complex geometry and representation theory. In the toy-model case of n = 1, where X is the complex bidisk and P is the direct image of the uniform measure, an explicit description of the spectral measure is given.
- 出版日期2011-8-19
