Reference : On standardness and I-cosiness
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/77777
On standardness and I-cosiness
English
Laurent, Stéphane mailto [Université Catholique de Louvain - UCL > > > >]
2010
Séminaire de Probabilités
Springer
XLIII
127-186
Yes
International
[en] Standard filtrations ; Cosiness
[en] The object of study of this work is the invariant characteristics of filtrations
in discrete, negative time, pioneered by Vershik. We prove the equivalence
between I-cosiness and standardness without using Vershik’s standardness criterion.
The equivalence between I-cosiness and productness for homogeneous filtrations is
further investigated by showing that the I-cosiness criterion is equivalent to Vershik’s
first level criterion separately for each random variable. We also aim to derive
the elementary properties of both these criteria, and to give a survey and some
complements on the published and unpublished literature.
IAP research network
http://hdl.handle.net/2268/77777
10.1007/978-3-642-15217-7_5
http://www.springerlink.com/content/978-3-642-15216-0/#section=799394&page=1

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
Cosiness_Standardness.pdfAuthor preprint575.68 kBView/Open

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.