Geometry of iteration stable tessellations: connection with Poisson hyperplanes
From MaRDI portal
Publication:2435216
DOI10.3150/12-BEJ424zbMath1291.60021arXiv1103.3958OpenAlexW2065311154MaRDI QIDQ2435216
Tomasz Schreiber, Christoph Thäle
Publication date: 4 February 2014
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.3958
Infinitely divisible distributions; stable distributions (60E07) Geometric probability and stochastic geometry (60D05)
Related Items (9)
Spatial Stit Tessellations: Distributional Results for I-Segments ⋮ Splitting tessellations in spherical spaces ⋮ Stochastic Geometry to Generalize the Mondrian Process ⋮ Limit theorems for iteration stable tessellations ⋮ The combinatorial structure of spatial STIT tessellations ⋮ Second-order properties for planar Mondrian tessellations ⋮ A random cell splitting scheme on the sphere ⋮ A Mecke-type formula and Markov properties for STIT tessellation processes ⋮ Branching random tessellations with interaction: a thermodynamic view
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit theorems for iteration stable tessellations
- Intrinsic volumes of the maximal polytope process in higher dimensional STIT tessellations
- Length distributions of edges in planar stationary and isotropic STIT tessellations
- Piecewise deterministic Markov processes applied to fatigue crack growth modelling
- Simulating the formation of keratin filament networks by a piecewise-deterministic Markov process
- Second-order properties and central limit theory for the vertex process of iteration infinitely divisible and iteration stable random tessellations in the plane
- Fitting three-dimensional Laguerre tessellations to foam structures
- Stochastic and Integral Geometry
- Gamma distributions for stationary Poisson flat processes
- MEAN VALUES FOR HOMOGENEOUS STIT TESSELLATIONS IN 3D
- A TESSELLATION MODEL FOR CRACK PATTERNS ON SURFACES
- Limits of sequences of stationary planar tessellations
- Second-Order Theory for Iteration Stable Tessellations
- The iteration of random tessellations and a construction of a homogeneous process of cell divisions
- A global construction of homogeneous random planar tessellations that are stable under iteration
- Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration
This page was built for publication: Geometry of iteration stable tessellations: connection with Poisson hyperplanes