Furstenberg–Zimmer structure theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
structure of measure-preserving dynamical systems
|
| gptkbp:field |
dynamical systems
ergodic theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Furstenberg–Zimmer structure theorem
|
| gptkbp:influenced |
multiple recurrence theorems
structural theory of dynamical systems |
| gptkbp:namedAfter |
gptkb:Hillel_Furstenberg
gptkb:Robert_J._Zimmer |
| gptkbp:publishedIn |
1976
|
| gptkbp:relatedTo |
measure-preserving transformation
distal transformation ergodic decomposition weak mixing |
| gptkbp:state |
the extension from the maximal distal factor to the system is weakly mixing
every measure-preserving system has a maximal distal factor |
| gptkbp:bfsParent |
gptkb:Hillel_Furstenberg
|
| gptkbp:bfsLayer |
4
|