W. Nagel

activity

20102018

most citedThe largest order statistics for the inradius in an isotropic STIT tessellation

4 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2018★ 4 cited

The largest order statistics for the inradius in an isotropic STIT tessellation

Nicolas Chenavier, Werner Nagel

A planar stationary and isotropic STIT tessellation at time $t > 0$ is observed in the window $W_{ρ} = t^{- 1} π ρ \cdot [- \frac{1}{2}, \frac{1}{2}]^{2}$ , for $ρ > 0$ . With each cell o…

math.PR2012

STIT Tessellations have trivial tail σ-algebra

Servet Martínez, Werner Nagel

We consider homogeneous STIT tessellations Y in the \ell-dimensional Euclidean space and show the triviality of the tail σ-algebra. This is a sharpening of the mixing result by Lac…

math.PR2010★ 2 cited

Ergodic Description of STIT Tessellations

Servet Martínez, Werner Nagel

Let (Y_t: t > 0) be the STIT tessellation process. We show that for all polytopes W with nonempty interior and all a>1, the renormalized random sequence (a^n Y_{a^n}: n integer) in…