STIT Process and Trees

2014/11/12 by Servet Martı́nez, Servet Martínez, Martínez, Servet +2
Mathematics · #05C05 #60D05 #60J25 #60J75 #Advanced Combinatorial Mathematics #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #math.PR #msc:05C05 #msc:60D05 #msc:60J25 #msc:60J75

paper · pdf · doi:10.48550/arxiv.1411.3189

openalex publication_date 2014/11/12 · arxiv created 2014/11/13 · arxiv updated 2014/11/14 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We study several constructions of the STIT tessellation process in a window of \RR^ℓ and supply an exact formula for its transition probability.

Related

• A Proof of a Conjecture by Mecke for STIT tessellations
• Ergodic Description of STIT Tessellations
• The β-Mixing Rate of STIT Tessellations
• Typical Geometry, Second-Order Properties and Central Limit Theory for Iteration Stable Tessellations
• STIT Tessellations -- Ergodic Limit Theorems and Bounds for the Speed of\n Convergence