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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.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.FA2024★ 1 cited
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…