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math.MG2024★ 4 cited
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…
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…