equivalence relation in ergodic theory
C22241
concept
An equivalence relation in ergodic theory is a measurable partition of a probability space into orbits of a measure-preserving transformation or group action, studied up to measure-theoretic properties such as ergodicity, hyperfiniteness, and orbit structure.
All labels observed (1)
| Label | Occurrences |
|---|---|
| equivalence relation in ergodic theory canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: equivalence relation in ergodic theory
Generated description
An equivalence relation in ergodic theory is a measurable partition of a probability space into orbits of a measure-preserving transformation or group action, studied up to measure-theoretic properties such as ergodicity, hyperfiniteness, and orbit structure.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Kakutani equivalence in ergodic theory | — |