Email this article On the Classification Problem of Measurable Functions in Several Variables and on Matrix Distributions
- Authors: Vershik A.M.1, Haböck U.2
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University
- Competence Centre for IT–Security
- Issue: Vol 219, No 5 (2016)
- Pages: 683-699
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238652
- DOI: https://doi.org/10.1007/s10958-016-3138-x
- ID: 238652
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Abstract
We resume results of the first author on classification of measurable functions in several variables, with some minor corrections of purely technical nature. We give a partial solution of the characterization problem for so-called matrix distributions which are metric invariants of measurable functions introduced by the first author. Matrix distributions are considered as (Sℕ × Sℕ)-invariant, ergodic measures on the space of matrices; this fact connects our problem with Aldous’ and Hoover’s theorem. Bibliography: 14 titles.
About the authors
A. M. Vershik
St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University
Author for correspondence.
Email: vershik@pdmi.ras.ru
Russian Federation, St.Petersburg
U. Haböck
Competence Centre for IT–Security
Email: vershik@pdmi.ras.ru
Austria, Wien
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