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Tel: +27 12 420-2788 Personal page: www.danielfresen.com Fields of interest: Probability, functional analysis, and convex geometry Research interests: High dimensional Euclidean space, Dvoretzky's theorem and the central limit theorem |
Publications over the past five yearsJournal articles Fresen DJ, Random Euclidean embeddings in finite-dimensional Lorentz spaces. Studia Math. 269 (2023), 121-138 Fresen DJ, Variations and extensions of the Gaussian concentration inequality, Part I. Quaestiones Mathematicae; https://doi.org/10.2989/16073606.2022.2074908 Fresen DJ, A simplified proof of CLT for convex bodies. Proc. Amer. Math. Soc. 149 (2021), 345-354 Fresen DJ, Euclidean arrangements in Banach spaces. Studia Math. 227(1) (2015), 55-76 Fresen DJ, Explicit Euclidean Embeddings in permutation invariant normed spaces. Adv. Math. 266 (2014), 1-16
Fresen DJ, Vitale RA, Concentration of random polytopes around the expected convex hull. Electron. Commun. Probab. 19(59) (2014), 1-8
Fresen DJ, A multivariate Gnedenko law of large numbers. Ann. Probab. 41(5)(2013), 3051-3080
Fresen DJ, The floating body and the hyperplane conjecture. Arch. Math. (Basel) 98(4) (2012), 389-397
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