Generic conservative dynamics on Stein manifolds with the volume density property

The uploaded paper (Arosio–Lárusson, 2025) proves that, for any Stein manifold of dimension at least 2 with the volume density property, generic volume-preserving automorphisms are chaotic (Devaney) and removes the earlier cohomological hypothesis; see the statement of the main question and Theorem 1 in the introduction and their proof sketch via Touhey’s characterization and a Baire argument showing that S(n,m) (admitting a saddle cycle meeting two basis open sets) is open and dense . The candidate solution outlines the same scheme: Andersén–Lempert approximation in the conservative setting, a closing mechanism to create transverse periodic cycles meeting prescribed opens, and Touhey’s equivalence to conclude chaos. This matches the paper’s method (generic expelling, AL-based perturbations, avoidance of unit-modulus eigenvalues) and its full-general results without extra cohomology assumptions . The only substantive omission in the model is the explicit dimension ≥ 2 hypothesis. Otherwise, the logic and ingredients align.