2016/09/05 by Servet Martı́nez, Martínez, Servet, Werner Nagel +1
Mathematics · #37A25 #60D05 #60J25 #60J75 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Probability (math.PR) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.1609.01138
openalex publication_date 2016/09/05 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
We consider homogeneous STIT tessellations in the \ℓ-dimensional\nEuclidean space mathbb R^\ℓ. Based on results for the spatial\n\β-mixing coefficient an upper bound for the variance of additive\nfunctionals of tessellations is derived, using results by Yoshihara and\nHeinrich. Moreover, ergodic theorems are applied to subadditive functionals.\n