| import OAI.Analysis.IrrationalRotation.Model.CircleTailAttenuation | |
| namespace OAI | |
| noncomputable section | |
| open MeasureTheory Set | |
| namespace Invariant233.CircleCoupling | |
| def truncationEvent (p : CircleParameterData) (j : ℕ) | |
| (hr : ∀ i, 0 < MixedRadix.radices p.q i) (r : Circle → ℝ) : Set Sample := | |
| {ω | (∀ i ∈ p.block j, | |
| (ω i).2.1 < 1 - 3 / (p.m j : ℝ) ∧ 3 / (p.m j : ℝ) < (ω i).2.2) ∧ | |
| ω ∈ tagEvent p j ∧ | |
| (∀ s, j < s → ∀ i ∈ p.block s, | |
| (ω i).2.1 < 1 - 3 * (p.K j : ℝ) / p.N s ∧ | |
| 3 * (p.K j : ℝ) / p.N s < (ω i).2.2) ∧ | |
| 1 / (j : ℝ) ≤ r (point p hr false ω) ∧ | |
| 1 / (j : ℝ) ≤ 1 - r (point p hr true ω)} | |
| end Invariant233.CircleCoupling | |
| end | |
| end OAI | |