3 papers
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.PR2024
Sharp concentration phenomena in high-dimensional Orlicz balls
Lorenz Frühwirth, Joscha Prochno
In this article, we present a precise deviation formula for the intersection of two Orlicz balls generated by Orlicz functions and . Additionally, we establish a (quantitati…
math.FA2024
Asymptotic theory of Schatten classes
Michael Juhos, Zakhar Kabluchko, Joscha Prochno
The study of Schatten classes has a long tradition in geometric functional analysis and related fields. In this paper we study a variety of geometric and probabilistic aspects of f…