Triple
T24823733
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Young tower construction in nonuniformly hyperbolic dynamics |
E621129
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | tool in ergodic theory |
C21648
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: tool in ergodic theory Context triple: [Young tower construction in nonuniformly hyperbolic dynamics, instanceOf, tool in ergodic theory]
-
A.
tool in dynamical systems theory
chosen
A tool in dynamical systems theory is a conceptual or computational method—such as phase portraits, Lyapunov functions, or Poincaré maps—used to analyze, visualize, and understand the qualitative and quantitative behavior of dynamical systems over time.
-
B.
equivalence relation in ergodic theory
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.
-
C.
theory of dynamical systems
The theory of dynamical systems studies how points in a mathematical space evolve over time under repeated application of rules or equations, revealing patterns such as stability, chaos, and long-term behavior.
-
D.
tool in large deviation theory
A tool in large deviation theory is a mathematical method or result—such as rate functions, the Gartner–Ellis theorem, or contraction principles—used to quantify and analyze the exponentially small probabilities of rare events in stochastic systems.
-
E.
tool in geometric analysis
A tool in geometric analysis is a mathematical method, concept, or construction used to study and characterize the geometric and analytic properties of spaces, shapes, and mappings.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e2fac0c3b881909110e5a56c6fa46f |
completed | April 18, 2026, 3:30 a.m. |
Created at: April 18, 2026, 5:05 a.m.