Ergodic Poisson splittings

DOI10.1214/19-AOP1390zbMath1482.60065arXiv1811.08174OpenAlexW3036126942WikidataQ114060546 ScholiaQ114060546MaRDI QIDQ784168

Élise Janvresse, Emmanuel Roy, Thierry De La Rue

Publication date: 31 July 2020

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08174

zbMATH Keywords

splittingPoisson point processrandom measurePoisson suspension

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Nonsingular (and infinite-measure preserving) transformations (37A40)

Cites Work

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• Ergodicity of Poisson products and applications
• Poisson splitting by factors
• Quasi-factors in ergodic theory
• Rank-one weak mixing for nonsingular transformations
• Infinite measure preserving transformations with Radon MSJ
• Quasi-factors and relative entropy for infinite-measure-preserving transformations
• Nearly finite Chacon transformation
• Ergodic properties of Poissonian ID processes
• Poisson thinning by monotone factors
• Random Measures, Theory and Applications
• Poisson suspensions and SuShis
• An Introduction to the Theory of Point Processes
• Infinite measure preserving transformations with “mixing”
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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