4 papers · 1 filter
Surface area deviation between smooth convex bodies and polytopes
Julian Grote, Christoph Thaele, Elisabeth M. Werner
The deviation of a general convex body with twice differentiable boundary and an arbitrarily positioned polytope with a given number of vertices is studied. The paper considers the…
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…