OAI/Analysis/LipschitzHilbert/Trees/SourceGridParameters.lean
3 declarations, 0 contain sorry, 0 declared as axioms
The source prediction scale gives one uniform marked-cell error in both branches. The only mesh hypothesis is the explicit carrier oscillation bound on a cell; the averaging measure and its remainder are already proved.
- theorem
OAI.LipschitzHilbert.source_grid_cost_leline 18 - theorem
OAI.LipschitzHilbert.eventually_source_balanced_grid_parametersline 31Source documentation
The balanced source factor has a normalized, measurable cell-constant majorant with pointwise error
G^(-1/32) * uat the actual parameters.theorem eventually_source_balanced_grid_parameters (C F : ℝ) (hC : 0 ≤ C) (hF : 0 ≤ F) : ∀ᶠ L : ℝ in atTop, ∀ D N : ℝ, 1 ≤ D → 0 < N → Real.log N ≤ 2*L → let p := Real.sqrt L … - theorem
OAI.LipschitzHilbert.eventually_source_dominant_grid_parametersline 123Source documentation
The unshrunk path vector in the dominant branch has the same final marked-cell error as the balanced branch. All phase and mass hypotheses remain the explicit local estimates proved for the original packets.
theorem eventually_source_dominant_grid_parameters (C F : ℝ) (hC : 0 ≤ C) (hF : 0 ≤ F) : ∀ᶠ L : ℝ in atTop, ∀ D N : ℝ, 1 ≤ D → 0 < N → Real.log N ≤ 2*L → let p := Real.sqrt L …