A diffusive matrix model for invariant β-ensembles

We define a new diffusive matrix model converging towards the β -Dyson Brownian motion for all β ∈ [0 , 2] that provides an explicit construction of β -ensembles of ran- dom matrices that is invariant under the orthogonal/unitary group. We also describe the eigenvector dynamics of the limiting matri...

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Bibliographic Details
Main Authors: Allez, Romain, Guionnet, Alice
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Institute of Mathematical Statistics 2018
Online Access:http://hdl.handle.net/1721.1/116184
https://orcid.org/0000-0003-4524-8627