Michael Juhos

activity

20212024

most citedSpectral flatness and the volume of intersections of

p

-ellipsoids

4 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

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…

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.PR2022★ 1 cited

Limit theorems for mixed-norm sequence spaces with applications to volume distribution

Michael Juhos, Zakhar Kabluchko, Joscha Prochno

Let $p, q \in (0, \infty]$ and $ℓ_{p}^{m} (ℓ_{q}^{n})$ be the mixed-norm sequence space of real matrices $x = (x_{i, j})_{i \leq m, j \leq n}$ endowed with the (quasi-)norm $\Vert x \…

math.PR2021

The large deviation behavior of lacunary sums

Lorenz Frühwirth, Joscha Prochno, Michael Juhos

We study the large deviation behavior of lacunary sums $(S_{n} / n)_{n \in N}$ with $S_{n} := \sum_{k = 1}^{n} f (a_{k} U)$ , $n \in N$ , where $U$ is uniformly distributed on $[0,1…

math.PR2021★ 4 cited

Spectral flatness and the volume of intersections of $p$ -ellipsoids

Michael Juhos, Joscha Prochno

Motivated by classical works of Schechtman and Schmuckenschläger on intersections of $ℓ_{p}$ -balls and recent ones in information-based complexity relating random sections of elli…