Trajectory theory (Q1093030)

scientific article; zbMATH DE number 4021510

Language	Label	Description	Also known as
English	Trajectory theory	scientific article; zbMATH DE number 4021510

Statements

instance of

scholarly article

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title

Trajectory theory (English)

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Journal of Soviet Mathematics

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publication date

1987

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review text

Translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 26, 171-211 (Russian) (1985; Zbl 0614.28018).

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zbMATH Keywords

Radon-Nikodým cocycle

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approximative finiteness

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metric trajectory theory

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Lebesgue space

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actions of nonamenable groups

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Singularities of analytic foliations and characteristic classes

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Q3943488

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CONDITIONAL FUNCTIONS IN THE TRAJECTORY THEORY OF DYNAMICAL SYSTEMS

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Q3217150

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Q3338434

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Q3746054

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Factorial representations of path groups

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Hyperfinite and \(II_ 1 \)actions for nonamenable groups

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Anosov foliations are hyperfinite

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On hyperfinite factors of type III\(_0\) and Krieger's factors

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On the hierarchy of W. Krieger

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Outer conjugacy classes of automorphisms of factors

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Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)

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Measure space automorphisms, the normalizers of their full groups, and approximate finiteness

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A Construction of Approximately Finite-Dimensional Non-ITPFI Factors

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An amenable equivalence relation is generated by a single transformation

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On Groups of Measure Preserving Transformations. I

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On Groups of Measure Preserving Transformations. II

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Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I

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Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II

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Orbit structure and countable sections for actions of continuous groups

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On the virtual groups defined by ergodic actions of R\(^n\) and \(Z^n\)

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Full groups and a theorem of Dye

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Invariant measures

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Q3234755

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A CLASSIFICATION OF ERGODIC NON-SINGULAR TRANSFORMATION GROUPS

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Flows associated with ergodic non-singular transformation groups

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Q3926822

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Ergodic Theory of Markov Chains Admitting an Infinite Invariant Measure

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On non-singular transformations of a measure space. I

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Q5615484

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On constructing non-\(^ *\)isomorphic hyperfinite factors of type III

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On the infinite product construction of non-singular transformations of a measure space

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On ergodic flows and the isomorphism of factors

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Ergodic theory and virtual groups

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Folner's Conditions for Amenable Semi-Groups.

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Zur Operatorenmethode in der klassischen Mechanik

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Ergodic theory of amenable group actions. I: The Rohlin lemma

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Equivalence of measure preserving transformations

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Virtual groups and group actions

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Topologies on measured groupoids

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A groupoid approach to C*-algebras

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Currents, flows and diffeomorphisms

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The Poincare Flow of a Foliation

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Hyperfinite factors and amenable ergodic actions

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Orbit spaces of unitary representations, ergodic theory, and simple Lie groups

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Random walks on compact groups and the existence of cocycles

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Amenable ergodic group actions and an application to Poisson boundaries of random walks

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Ergodic theory, group representations, and rigidity

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Q3687381

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full work available at URL

https://doi.org/10.1007/bf01088204

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Identifiers

zbMATH Open document ID

0628.28015

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DOI

10.1007/BF01088204

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1093030