Every compact manifold carries a completely hyperbolic diffeomorphism

By Dmitry Dolgopyat, Yakov Pesin. Ergodic Theory and Dynamical Systems, 2002

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On the regularization of conservative maps (2008, background): “While dynamics in the smooth and the low regularity worlds may often seem to be different altogether (compare [10] and [5]), it turns out that their characteristics can be often combined (both in the conservative and the dissipative setting), yielding for instance great flexibility in obtaining inte”
Averaging and Invariant Measures (2005, unknown): “Similar computations in slightly different setting can be found in [43], [41], [19], [21].”