Random symmetric matrices on Clifford algebras
type: Distribution
access URL: https://hal.science/hal-00921791
format: HTML
issued: 2026-05-07T17:16:38.905074
modified: 2026-05-07T17:16:38.891644

test_moissonnage_selune
type: Agent

Random symmetric matrices on Clifford algebras
type: Dataset
contact point: Organization
  fn: CCSD
keyword: botts-periodicity
keyword: preprints-working-papers-
keyword: diffusion-operators
keyword: clifford-algebras
keyword: random-matrices
keyword: msc-60b2047a1015a66
keyword: mathmath-prmathematics-mathprobability-mathpr
keyword: infoeu-reposemanticspreprint
landing page: https://hal.science/hal-00921791
description: 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.
issued: 2026-05-07T17:16:38.900250
language: en
modified: 2026-05-07T17:16:38.900254