OAI/Probability/SLE/Gauge/SerpentineInfiniteArray.lean
3 declarations, 0 contain sorry, 0 declared as axioms
The finite serpentine remains embedded after continuing its last column vertically to infinity.
- lemma
OAI.SLEExactGauge.Serpentine.array_normal_terminalline 14 - lemma
OAI.SLEExactGauge.Serpentine.array_normal_finite_terminal_disjointline 24 - theorem
OAI.SLEExactGauge.Serpentine.array_normal_injective_infiniteline 57Source documentation
The complete upward-continued array is embedded on the whole closed width-one normal strip.
theorem array_normal_injective_infinite {m : ℕ} (hm : 0 < m) : InjOn (normalRibbon (arraySpine m (2 * m)) (arrayTangent m (2 * m))) {z : ℂ | 0 ≤ z.re ∧ |z.im| ≤ 1} := by …Mentions: OAI.SLEExactGauge.Serpentine.normalRibbon, OAI.SLEExactGauge.Serpentine.arraySpine, OAI.SLEExactGauge.Serpentine.arrayTangent