Ergodicity of Poisson products and applications

DOI10.1214/12-AOP824zbMath1279.60061arXiv1107.0520OpenAlexW2015305268MaRDI QIDQ378798

Tom Meyerovitch

Publication date: 12 November 2013

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

Full work available at URL: https://arxiv.org/abs/1107.0520

zbMATH Keywords

conservative transformationsequivariant allocationequivariant thinninginfinite measure preserving transformationsPoisson suspension

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

A monotone Sinai theorem ⋮ Dynamics of Cellular Automata on Beta-Shifts and Direct Topological Factorizations ⋮ The two-dimensional Boole-type transform and its ergodicity ⋮ Ergodic Poisson splittings

Cites Work

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• Poisson thickening
• Poisson splitting by factors
• Geometric properties of Poisson matchings
• Poisson matching
• A stable marriage of Poisson and Lebesgue
• Gravitational allocation to Poisson points
• Spectra of ergodic group actions
• The ergodic infinite measure preserving transformation of Boole
• Reconstruction of a factor from measures on Takesaki's unitary equivalence relation
• Poisson thinning by monotone factors
• Connected allocation to Poisson points in \(\mathbb R^{2}\)
• Poisson-Pinsker factor and infinite measure preserving group actions
• A zero-one law for linear transformations of Levy noise
• Poisson suspensions and infinite ergodic theory
• L _∞ Eigenvalues and L ₂ Spectra of Non-Singular Transformations
• Spectral theory of dynamical systems

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