3 papers
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.PR2023
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…
math.NT2023
Diophantine conditions in the law of the iterated logarithm for lacunary systems
Christoph Aistleitner, Lorenz Frühwirth, Joscha Prochno
It is a classical observation that lacunary function systems exhibit many properties which are typical for systems of independent random variables. However, it had already been obs…