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math.FA2018
Exact asymptotic volume and volume ratio of Schatten unit balls
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
The unit ball of the finite-dimensional Schatten trace class consists of all real matrices whose singular values $s_1(A),\ldots…
math.FA2018
Intersection of unit balls in classical matrix ensembles
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
We study the volume of the intersection of two unit balls from one of the classical matrix ensembles GOE, GUE and GSE, as the dimension tends to infinity. This can be regarded as a…