Random symmetric matrices on Clifford algebras

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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Submitted on : Saturday, December 21, 2013 - 1:36:51 PM
Last modification on : Thursday, July 18, 2019 - 3:00:04 PM
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  • HAL Id : hal-00921791, version 1
  • ARXIV : 1312.6291

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Dominique Bakry, Marguerite Zani. Random symmetric matrices on Clifford algebras. 2013. ⟨hal-00921791⟩

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