Year: 2021
Type: preprint
Abstract: \emph{A maximal distance minimizer} for a given compact set $M \subset \mathbb{R}^2$ and some given $r > 0$ is a set having the minimal length (one-dimensional Hausdorff measure) over the class of closed connected sets $Σ\subset \mathbb{R}^2$ satisfying the inequality \[ \max_{y\in M} dist (y, Σ) \leq r. \] This paper deals with the set of maximal distance minimizers for a rectangle $M$ and small enough $r$.
Source: arXiv (Cornell University)
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3171592804