Crystallization of random matrix orbits

Three operations on eigenvalues of real/complex/quaternion (corresponding to β=1,2,4⁠) matrices, obtained from cutting out principal corners, adding, and multiplying matrices, can be extrapolated to general values of β>0 through associated special functions. We show that the β→∞ limit for these o...

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Bibliographic Details
Main Authors: Gorin, Vadim, Marcus, Adam W.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Oxford University Press (OUP) 2020
Online Access:https://hdl.handle.net/1721.1/124436