Research output: Contribution to journal › Article › peer-review
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.
Original language | English |
---|---|
Pages (from-to) | 258-269 |
Number of pages | 12 |
Journal | Functional Analysis and its Applications |
Volume | 52 |
Issue number | 4 |
DOIs | |
State | Published - 1 Oct 2018 |
ID: 38371858