33 citations · 112 across the 51 of their papers we have counts for
71 papers
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…
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…
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…
The large and moderate deviations approach in geometric functional analysis
Joscha Prochno
The work of Gantert, Kim, and Ramanan [Large deviations for random projections of balls, Ann. Probab. 45 (6B), 2017] has initiated and inspired a new direction of research…
The Maclaurin inequality through the probabilistic lens
Lorenz Frühwirth, Michael Juhos, Joscha Prochno
In this paper we take a probabilistic look at Maclaurin's inequality, which is a refinement of the classical AM-GM inequality. In a natural randomized setting, we obtain limit theo…