STIT Tessellations -- Ergodic Limit Theorems and Bounds for the Speed of Convergence
Abstract
We consider homogeneous STIT tessellations in the -dimensional Euclidean space R. Based on results for the spatial β-mixing coefficient an upper bound for the variance of additive functionals of tessellations is derived, using results by Yoshihara and Heinrich. Moreover, ergodic theorems are applied to subadditive functionals.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.