4 citations · 7 across the 14 of their papers we have counts for
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Gelfand numbers of embeddings of Schatten classes
Aicke Hinrichs, Joscha Prochno, Jan Vybíral
Let and denote by and the corresponding Schatten classes of real matrices. We study the Gelfand numbers of natura…
The maximum entropy principle and volumetric properties of Orlicz balls
Zakhar Kabluchko, Joscha Prochno
We study the precise asymptotic volume of balls in Orlicz spaces and show that the volume of the intersection of two Orlicz balls undergoes a phase transition when the dimension of…
Embeddings of Orlicz-Lorentz spaces into
Joscha Prochno
In this article, we show that Orlicz-Lorentz spaces , with Orlicz function and weight sequence are uniformly isomorphic to subspaces of …
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…
High-dimensional limit theorems for random vectors in -balls
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
In this paper, we prove a multivariate central limit theorem for -norms of high-dimensional random vectors that are chosen uniformly at random in an -ball. As a c…