| import Mathlib |
| import OAI.Probability.Ballisticity.Walk.PreBrownianGridMartingale |
| import OAI.Probability.Ballisticity.Walk.RowProductIntegral |
| import OAI.Probability.Ballisticity.Stationary.EpisodeFresh |
| import OAI.Probability.Ballisticity.Stationary.BadArraySampling |
| import OAI.Probability.Ballisticity.Entropy.BadWindowEntropy |
| import OAI.Probability.Ballisticity.Stationary.BadArrayElliptic |
| import OAI.Probability.Ballisticity.Estimates.BadStageMoment |
| import OAI.Probability.Ballisticity.Estimates.BadDropMoment |
| import OAI.Probability.Ballisticity.Renewal.PositiveLengthMark |
| import OAI.Probability.Ballisticity.Stationary.BadFiniteArray |
| import OAI.Probability.Ballisticity.Stationary.ArrayClassProbability |
| import OAI.Probability.Ballisticity.Stationary.StationaryProfile2 |
| import OAI.Probability.Ballisticity.Estimates.RapidDecayTail |
| import OAI.Probability.Ballisticity.Renewal.VelocityWords |
|
|
| namespace OAI |
|
|
| section |
|
|
| open MeasureTheory ProbabilityTheory Filter |
| open scoped ENNReal NNReal Classical Topology BigOperators |
| namespace DirectionalTransience |
|
|
| theorem directional_transience_implies_ballisticity : MainStatement := by |
| intro d hd ν hν hue ℓ hℓ htrans |
| exact directional_transience_implies_ballisticity_unit hd ν hue ℓ hℓ htrans |
|
|
| end DirectionalTransience |
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| end |
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| end OAI |
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|
