Daniel J. Fresen

activity

20112022

most citedA multivariate Gnedenko law of large numbers

11 citations · 14 across the 11 of their papers we have counts for

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5 papers · 1 filter

math.FA2022

Convex subsets of non-convex Lorentz balls

Daniel J. Fresen

Many star bodies have convex subsets with approximately the same Gaussian measure (of the complement). Inspired by this phenomenon, and in connection with the randomized Dvoretzky…

math.FA2021

Random Euclidean embeddings in finite dimensional Lorentz spaces

Daniel J. Fresen

Quantitative bounds for random embeddings of $R^{k}$ into Lorentz sequence spaces are given, with improved dependence on $ε$ .

math.FA2013

Explicit Euclidean Embeddings in Permutation Invariant Normed Spaces

Daniel Fresen

Let $(X, ∥ \cdot ∥)$ be a real normed space of dimension $N \in N$ with a basis $(e_{i})_{1}^{N}$ such that the norm is invariant under coordinate permut…

math.FA2013

Euclidean arrangements in Banach spaces

Daniel J. Fresen

We study the way in which the Euclidean subspaces of a Banach space fit together, somewhat in the spirit of the Kašin decomposition. The main tool that we introduce is an estimate…

math.FA2011

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…