Regenerative processes for Poisson zero polytopes

DOI10.1017/apr.2018.57zbMath1431.60014arXiv1708.08592OpenAlexW3104808747MaRDI QIDQ5215041

Servet Martínez, Werner Nagel

Publication date: 5 February 2020

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08592

zbMATH Keywords

stochastic geometryregenerative processrandom tessellationSTIT tessellationPoisson hyperplane tessellationBernoulli flowzero polytope

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Continuous-time Markov processes on general state spaces (60J25) Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Jump processes on discrete state spaces (60J74)

Cites Work

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• Stochastic and Integral Geometry
• Limits of sequences of stationary planar tessellations
• Ergodic description of STIT tessellations
• Applied Probability and Queues
• STIT tessellations are Bernoulli and standard
• A global construction of homogeneous random planar tessellations that are stable under iteration
• Theory of Random Sets
• Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration

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