4 citations · 18 across the 13 of their papers we have counts for
13 papers
Random approximation of convex bodies in Hausdorff metric
Joscha Prochno, Carsten Schütt, Mathias Sonnleitner +1
While there is extensive literature on approximation, deterministic as well as random, of general convex bodies in the symmetric difference metric, or other metrics arising fro…
Entropy numbers of finite-dimensional Lorentz space embeddings
Joscha Prochno, Mathias Sonnleitner, Jan Vybíral
The sequence of entropy numbers quantifies the degree of compactness of a linear operator acting between quasi-Banach spaces. We determine the asymptotic behavior of entropy number…
Unlocking Your Bike the Easy Way
Mathias Sonnleitner
Combination locks are widely used to secure bicycles. We consider a combination lock consisting of adjacent rotating dials with the first nonnegative integers printed on each of th…
A note on critical intersections of classical and Schatten -balls
Mathias Sonnleitner, Christoph Thäle
The purpose of this note is to study the asymptotic volume of intersections of unit balls associated with two norms in as their dimension tends to infinity. A ge…
A probabilistic approach to Lorentz balls
Zakhar Kabluchko, Joscha Prochno, Mathias Sonnleitner
We develop a probabilistic approach to study the volumetric and geometric properties of unit balls of finite-dimensional Lorentz sequences spaces …
The power of random information for numerical approximation and integration
Mathias Sonnleitner
This thesis investigates the quality of randomly collected data by employing a framework built on information-based complexity, a field related to the numerical analysis of abstrac…