Отправить статью по E-mail Combinatorial Invariants of Metric Filtrations and Automorphisms; the Universal Adic Graph
- Авторы: Vershik A.M.1,2,3, Zatitskiy P.B.1,2
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Учреждения:
- St. Petersburg Department of Steklov Institute of Mathematics
- St. Petersburg State University
- Institute for Information Transmission Problems
- Выпуск: Том 52, № 4 (2018)
- Страницы: 258-269
- Раздел: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234538
- DOI: https://doi.org/10.1007/s10688-018-0236-1
- ID: 234538
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Аннотация
We suggest a combinatorial classification of metric filtrations of measure spaces; a complete invariant of such a filtration is its combinatorial scheme, a measure on the space of hierarchies of the group Z. In turn, the notion of a combinatorial scheme is a source of new metric invariants of automorphisms approximated by means of basic filtrations. We construct a universal graph with an adic structure such that every automorphism can be realized on its path space.
Об авторах
A. Vershik
St. Petersburg Department of Steklov Institute of Mathematics; St. Petersburg State University; Institute for Information Transmission Problems
Автор, ответственный за переписку.
Email: avershik@gmail.com
Россия, St. Petersburg; St. Petersburg; Moscow
P. Zatitskiy
St. Petersburg Department of Steklov Institute of Mathematics; St. Petersburg State University
Email: avershik@gmail.com
Россия, St. Petersburg; St. Petersburg
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