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On the Distribution of Products of Spherical Classes in Classical Symmetric Spaces of Rank One

Jafar Shaffaf
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Abstract

The distribution of products of random matrices chosen from fixed spherical classes is determined for classical rank 1 symmetric spaces. It is observed that $n\to\infty$ limit behaves approximately as in the abelian case. A theorem on the rate of convergence to the Haar measure in the case of SU(n) is also established.

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Jafar Shaffaf. 2006-08-11. On the Distribution of Products of Spherical Classes in Classical Symmetric Spaces of Rank One. https://arxiv.org/abs/math/0608281

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