Dr DJ (Daniel) Fresen

Tel: +27 12 420-2788
E-mail: [email protected]
Office: Mathematics building 2-27
Position: Lecturer
Academic qualifications:  PhD (University of Missouri) 2012

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 years

Journal 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

Copyright © University of Pretoria 2023. All rights reserved.

COVID-19 Corona Virus South African Resource Portal

To contact the University during the COVID-19 lockdown, please send an email to [email protected]

FAQ's Email Us Virtual Campus Share Cookie Preferences