4 citations · 16 across the 22 of their papers we have counts for
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Yet another note on the arithmetic-geometric mean inequality
Zakhar Kabluchko, Joscha Prochno, Vladislav Vysotsky
It was shown by E. Gluskin and V.D. Milman in [GAFA Lecture Notes in Math. 1807, 2003] that the classical arithmetic-geometric mean inequality can be reversed (up to a multiplicati…
Geometry of -balls: Classical results and recent developments
Joscha Prochno, Christoph Thäle, Nicola Turchi
This survey will appear as a chapter in the forthcoming "Proceedings of the HDP VIII Conference".
Sanov-type large deviations in Schatten classes
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
Denote by the eigenvalues of an -matrix . Let be an -matrix chosen uniformly at random from the matrix analogue to the c…
The isotropic constant of random polytopes with vertices on convex surfaces
Joscha Prochno, Christoph Thäle, Nicola Turchi
For an isotropic convex body we consider the isotropic constant of the symmetric random polytope generated by independent random points w…
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…
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…