arXiv subjects

Janina Hübner

Publications and source records attributed to Janina Hübner.

2 recordsLinked to original sources

arXiv2023

Vertex number of the typical cell in a tri-directional Poisson line tessellation

This paper deals with the typical cell in a Poisson line tessellation in the plane whose directional distribution is concentrated on three equally spread values with possibly different weights. Such a random polygon can only be a triangle, a quadrilateral, a pentagon or a hexagon. The probability for each of these cases is determined explicitly in terms of the weights. Extremal cases are discussed as well.

math.PR↗

arXiv2022

Rate-optimal sparse approximation of compact break-of-scale embeddings

The paper is concerned with the sparse approximation of functions having hybrid regularity borrowed from the theory of solutions to electronic Schrödinger equations due to Yserentant [43]. We use hyperbolic wavelets to introduce corresponding new spaces of Besov- and Triebel-Lizorkin-type to particularly cover the energy norm approximation of functions with dominating mixed smoothness. Explicit (non-)adaptive algorithms are derived that yield sharp dimension-independent rates of convergence.

math.NA↗