Hausdorff dimension of intrinsically transversal solenoidal attractors in high dimensions

The paper proves that for intrinsically transversal solenoidal attractors with T in T* ∩ E*, all fiber sections have dim_H = dim_B = d0 (Bowen root) and the global set has l + d0, via a geometric overlap-control lemma and Lipschitz holonomies; see the Main Theorem and its setup defining T*, E*, coding, and pressure d0, and the proof outline with the Geometric Lemma and holonomy construction . The candidate solution reaches the same conclusions using a pressure-based upper bound and a transversality-driven lower bound with a Gibbs/Carathéodory construction and L^2-overlap language. While conceptually aligned, the candidate’s lower-bound proof strategy (Gibbs measure + L^2-overlap) is not the paper’s geometric-combinatorial route via the Geometric Lemma and the specific tubular-overlap control; thus, both are correct but follow different proof styles.