Reference : Vershik’s intermediate level standardness criterion and the scale of an automorphism
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/89780
Vershik’s intermediate level standardness criterion and the scale of an automorphism
English
Laurent, Stéphane mailto [Université de Liège - ULg > HEC-Ecole de gestion de l'ULg : UER > Statistique appliquée à la gestion et à l'économie >]
2013
Lecture Notes in Mathematics
Springer
Séminaire de Probabilités XLV
Yes
International
0075-8434
1617-9692
978-3-319-00320-7
Berlin
Germany
[en] Filtration ; Standardness ; Vershik's criterion
[en] Vershik’s standardness criterion takes a particular form of combinatorial nature in the case of $r_n$-adic filtrations, which we call Vershik’s intermediate level criterion in this paper. This criterion has been intensively used in the ergodic theory literature, but it is not easily applicable by probabilists because it is stated in a language proper to the theory of measurable partitions and has not been translated in probabilistic terms. We aim to provide an easily applicable probabilistic statement of this criterion. Finally, Vershik’s intermediate level criterion is illustrated by revisiting Vershik’s definition of the scale of an invertible measure-preserving transformation.
Researchers ; Professionals
http://hdl.handle.net/2268/89780
http://www.springer.com/mathematics/probability/book/978-3-319-00320-7

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