185structure SelfSimilarKernel where 186 /-- The kernel exponent -/ 187 alpha : ℝ 188 /-- Self-similarity: kernel at scale φ·a equals kernel at a scaled by φ^α -/ 189 self_similar : ∀ (P : KernelParams) (k a : ℝ), P.alpha = alpha → 190 kernel P k (phi * a) = 1 + P.C * phi ^ alpha * (max 0.01 (a / (k * P.tau0))) ^ alpha 191 192/-- From self-similarity and the fixed-point equation φ² = φ + 1, 193 we can derive constraints on α. This is a placeholder for the full derivation. -/
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