Null flows, positive flows and the structure of stationary symmetric stable processes

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dc.creatorSamorodnitsky, Gennady
dc.date2004-12-21
dc.date.accessioned2026-07-07T05:15:31Z
dc.date.available2026-07-07T05:15:31Z
dc.descriptionThis paper elucidates the connection between stationary symmetric alpha-stable processes with 0<alpha<2 and nonsingular flows on measure spaces by describing a new and unique decomposition of stationary stable processes into those corresponding to positive flows and those corresponding to null flows. We show that a necessary and sufficient for a stationary stable process to be ergodic is that its positive component vanishes.
dc.identifierhttps://arxiv.org/abs/math/0412419
dc.identifierhttp://arxiv.org/abs/math/0412419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73658
dc.subjectProbability
dc.subject60G10, 60G52
dc.titleNull flows, positive flows and the structure of stationary symmetric stable processes
dc.typetext

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