Mathias Sonnleitner

activity

20192024

most citedRandom approximation of convex bodies in Hausdorff metric

4 citations · 18 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.FA2024★ 3 cited

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…

math.FA2023★ 1 cited

A probabilistic approach to Lorentz balls

Zakhar Kabluchko, Joscha Prochno, Mathias Sonnleitner

We develop a probabilistic approach to study the volumetric and geometric properties of unit balls $B_{q, 1}^{n}$ of finite-dimensional Lorentz sequences spaces $ℓ_{q, 1}^{n}$ …

math.FA2021★ 2 cited

Random sections of $ℓ_{p}$ -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators

Aicke Hinrichs, Joscha Prochno, Mathias Sonnleitner

We study the circumradius of a random section of an $ℓ_{p}$ -ellipsoid, $0 < p \leq \infty$ , and compare it with the minimal circumradius over all sections with subspaces of the same c…

Entropy numbers of finite-dimensional Lorentz space embeddings

A probabilistic approach to Lorentz balls

Random sections of ℓp​-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators

Random sections of $ℓ_{p}$ -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators