11 citations · 14 across the 11 of their papers we have counts for
4 papers · 1 filter
Exponential and Gaussian behavior in the tails of multivariate functions
Daniel Fresen
We observe that approximate copies of the function defined by \begin{equation*} Λ_{n}(x)=\exp \left( -x_{1}-π\sum_{i=2}^{n}x_{i}^{2}\r…
Comments on the floating body and the hyperplane conjecture
Daniel Fresen
We provide a reformulation of the hyperplane conjecture (the slicing problem) in terms of the floating body and give upper and lower bounds on the logarithmic Hausdorff distance be…
Simultaneous concentration of order statistics
Daniel Fresen
Let be a probability measure on with cumulative distribution function , a large i.i.d. sample from , and the associated empirical d…
A multivariate Gnedenko law of large numbers
Daniel Fresen
We show that the convex hull of a large i.i.d. sample from an absolutely continuous log-concave distribution approximates a predetermined convex body in the logarithmic Hausdorff d…