Matrix valued Brownian motion and a paper by Polya
Résumé
We give a geometric description of the motion of eigenvalues of a Brownian motion with values in some matrix spaces. In the second part we consider a paper by Polya where he introduced a function close to the Riemann zeta function, which satisfies Riemann hypothesis. We show that each of these two functions can be related to Brownian motion on a symmetric space.
Origine : Fichiers produits par l'(les) auteur(s)
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