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LeanPool.AnomalousDiffusion.AVenhance.Infra.Section4.IteratesIndependentCoordinateNorms

Iterates Independent Coordinate Norms #

Support for the Armstrong–Vicol anomalous-diffusion formalization.

theorem AVenhance.Infra.Section4.iterate_independent_coordinate_norms {e g κ H : ℝ} (he : 0 ≤ e) (hg : 0 ≤ g) (hκ : 0 ≤ κ) (hH : 0 ≤ H) (heH : e ≤ H ^ 2 / 4) (hgH : κ * g ≤ H ^ 2 / 4) :
√e + √κ * √g ≤ H

Quarter-energy bounds control independently chosen scalar and gradient coordinate words. This matches the two separate maxima in the source norm.