Daniel J. Fresen
Lecturer
Department of Mathematics
University of Pretoria
daniel.fresen@up.ac.za or djfb6b@mail.missouri.edu
CV
(2018)
Research
Probability, high dimensional geometry.
Papers:
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
R. A. 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
. To appear in Proc. Amer. Math. Soc. (2020)
Variations and extensions of the Gaussian concentration inequality, Part I
.
Variations and extensions of the Gaussian concentration inequality, Part II
.
Exponential and Gaussian behavior in the tails of multivariate functions
.