3 papers
math.PR2025
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…
math.FA2024
Entropy numbers of finite-dimensional Lorentz space embeddings
Joscha Prochno, Mathias Sonnleitner, Jan VybÃral
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…
math.NA2024
Function recovery on manifolds using scattered data
David Krieg, Mathias Sonnleitner
We consider the task of recovering a Sobolev function on a connected compact Riemannian manifold when given a sample on a finite point set. We prove that the quality of the sam…