OAI/Probability/FKMaps/Convergence.lean
2 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.FKCRT.Inventory.actual_map_testsline 15Source documentation
The original map observable converges under its exact marked code law.
theorem actual_map_tests (P : Parameters) {Ω : Type} [MeasurableSpace Ω] {μ : Measure Ω} [IsProbabilityMeasure μ] {B : Fin 3 → ℝ≥0 → Ω → ℝ} (hB : ∀ i,IsBrownianReal (B i) μ) (hI : iIndepFun (fun i ω t => B i t ω) μ) (F : FKCRT.MetricMeasureData → ℝ) (hF : FKCRT.IsGHPTest F) : Tendsto (fun n => ∫ x,FKCRT.markedMapTest (edgeScale P n) n F x ∂actualDrawLaw P n) atTop (𝓝 (FKCRT.brownianExpectation μ B F)) := by …Mentions: OAI.FKCRT.Inventory.Parameters, OAI.FKCRT.MetricMeasureData, OAI.FKCRT.IsGHPTest, OAI.FKCRT.markedMapTest, OAI.FKCRT.Inventory.edgeScale, OAI.FKCRT.Inventory.actualDrawLaw, OAI.FKCRT.brownianExpectation
- theorem
OAI.FKCRT.finite_fk_maps_converge_to_brownian_crtline 68Source documentation
GHP convergence of the finite FK laws to the standard Brownian-excursion CRT, through every positive edge count.
Distinct definitions of this name: ComparatorChallenges/FKCRT.lean:208 (same statement text; different proof or body). Qualify references as OAI.FKCRT.finite_fk_maps_converge_to_brownian_crt@path.
theorem finite_fk_maps_converge_to_brownian_crt : MainStatement := by …
Mentions: OAI.FKCRT.MainStatement