Random symmetric matrices on Clifford algebras

Dominique Bakry; Marguerite Zani

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arXiv · 1312.6291

Random symmetric matrices on Clifford algebras

Dominique Bakry·Marguerite Zani

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Abstract

We consider Brownian motions and other processes (Ornstein-Uhlenbeck processes, spherical Brownian motions) on various sets of symmetric matrices constructed from algebra structures, and look at their associated spectral measure processes. This leads to the identification of the multiplicity of the eigenvalues, together with the identification of the spectral measures. For Clifford algebras, we thus recover Bott's periodicity.

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Dominique Bakry, Marguerite Zani. 2013-12-21. Random symmetric matrices on Clifford algebras. https://arxiv.org/abs/1312.6291

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