STIT Process and Trees
Servet Mart\'inez, Werner Nagel
TL;DR
This paper investigates the STIT tessellation process, providing multiple constructions and deriving an exact formula for its transition probability, enhancing understanding of its probabilistic structure.
Contribution
The paper introduces new constructions of the STIT process and derives an explicit transition probability formula, advancing theoretical understanding.
Findings
Multiple constructions of the STIT process are presented.
An exact formula for transition probabilities is derived.
The results improve the mathematical understanding of STIT tessellations.
Abstract
We study several constructions of the STIT tessellation process in a window of and supply an exact formula for its transition probability.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Random Matrices and Applications · Advanced Combinatorial Mathematics