# daniel.fresen@up.ac.za

## Lecturer, Mathematics, University of Pretoria

PhD, University of Missouri, 2012. Gibbs Assistant Professor, Yale, 2012-2015. Postdoc, Weizmann Institute of Science, 2015-2016.

## Probability and high dimensional geometry

The floating body and the hyperplane conjecture. Arch. Math. (Basel) 98 (4), 389-397 (2012)
A multivariate Gnedenko law of large numbers. Ann. Probab. 41 (5), 3051-3080 (2013)
(with Vitale) Concentration of random polytopes around the expected convex hull. Electron. Commun. Probab. 19 (59), 1-8 (2014)
Explicit Euclidean embeddings in permutation invariant normed spaces. Adv. Math. 266, 1-16 (2014)
Euclidean arrangements in Banach spaces. Studia Math. 227 (1), 55-76 (2015)
A simplified proof of CLT for convex bodies. Proc. Amer. Math. Soc. 149, 345-354 (2021)
Random Euclidean embeddings in finite-dimensional Lorentz spaces. Studia Math. 269 (2), 121-138 (2023)
Variations and extensions of the Gaussian concentration inequality, Part I. To appear in Quaest. Math.
Variations and extensions of the Gaussian concentration inequality, Part II.
Order statistics and convex subsets of non-convex Lorentz balls.
Optimal tail comparison under convex majorization.
Moment free deviation inequalities for linear combinations of independent random variables with power-type tails.
Exponential and Gaussian behavior in the tails of multivariate functions.
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