On the classification problem of measurable functions in several variables and on matrix distributions

DOI10.1007/s10958-016-3138-xzbMath1379.37008OpenAlexW2543405043MaRDI QIDQ503992

Ulrich Haböck, Anatoly M. Vershik

Publication date: 24 January 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3138-x

zbMATH Keywords

measurable functionergodic measurematrix distribution

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Ergodic theorems, spectral theory, Markov operators (37A30) Spaces of measures, convergence of measures (28A33)

Related Items (2)

The theory of filtrations of subalgebras, standardness, and independence ⋮ Dynamics of metrics in measure spaces and scaling entropy

Cites Work

• A random metric space is the universal Urysohn space
• Representations for partially exchangeable arrays of random variables
• Classification of measurable functions of several variables and invariantly distributed random matrices
• Random metric spaces and universality
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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