Vershik’s Intermediate Level Standardness Criterion and the Scale of an Automorphism

DOI10.1007/978-3-319-00321-4_3zbMath1291.60065OpenAlexW155675161MaRDI QIDQ2865103

Stéphane Laurent

Publication date: 28 November 2013

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.springer.com/mathematics/probability/book/978-3-319-00320-7

zbMATH Keywords

invertible measure-preserving transformation\(r_n\)-adic filtrationstheory of measurable partitionsVershik's intermediate level criterion

Mathematics Subject Classification ID

General theory of stochastic processes (60G07)

Related Items

General erased-word processes: product-type filtrations, ergodic laws and Martin boundaries ⋮ Uniform Entropy Scalings of Filtrations ⋮ Filtrations associated to some two-to-one transformations ⋮ Filtrations of the Erased-Word Processes

Cites Work

• The filtration of the split-words process
• Four definitions of the scale of an automorphism
• On Vershikian and I-Cosy Random Variables and Filtrations
• On Standardness and I-cosiness
• ${\bi T},{\bi T}^{\bf -1}$ is not standard
• A zero entropy $T$ such that the $[T,\!{\operatorname {Id}}$ endomorphism is nonstandard]
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