Intersection and proximity of processes of flats

@article{Hug2014IntersectionAP,
  title={Intersection and proximity of processes of flats},
  author={Daniel Hug and Christoph Th{\"a}le and Wolfgang Weil},
  journal={arXiv: Metric Geometry},
  year={2014},
  pages={1-42}
}
  • Daniel Hug, Christoph Thäle, Wolfgang Weil
  • Published 2014
  • Mathematics
  • arXiv: Metric Geometry
  • Weakly stationary random processes of $k$-dimensional affine subspaces (flats) in $\mathbb{R}^n$ are considered. If $2k\geq n$, then intersection processes are investigated, while in the complementary case $2k<n$ a proximity process is introduced. The intensity measures of these processes are described in terms of parameters of the underlying $k$-flat process. By a translation into geometric parameters of associated zonoids and by means of integral transformations, several new uniqueness and… CONTINUE READING

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