Maharam extension and stationary stable processes

DOI10.1214/11-AOP671zbMath1255.60077arXiv1001.0638MaRDI QIDQ428154

Emmanuel Roy

Publication date: 19 June 2012

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

Full work available at URL: https://arxiv.org/abs/1001.0638

zbMATH Keywords

stable stationary processesergodic propertiesMaharam system

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Stable stochastic processes (60G52) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (4)

Symmetric stable processes on amenable groups ⋮ Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: a survey ⋮ Stochastic integral representations and classification of sum- and max-infinitely divisible processes ⋮ Stable random fields indexed by finitely generated free groups

Cites Work

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• On the spectral representation of symmetric stable processes
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• Null flows, positive flows and the structure of stationary symmetric stable processes
• Poisson suspensions and infinite ergodic theory
• The classification of non-singular actions, revisited
• A Skew Product Entropy for Nonsingular Transformations

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