Stable accessibility is C1 dense

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Physical measures and absolute continuity for one-dimensional center direction (2013, background): “Furthermore, by [33], there is an open and dense subset U3 of V1 m consisting of accessible diffeomorphisms.”
Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows (2011, background): “What is more, Ruelle and Wilkinson [49] showed that, in a similar setting, the disintegration of volume along center leaves is atomic, supported on finitely many points.”