Jairo Bochi

most citedA generic

C^{1}

map has no absolutely continuous invariant probability measure

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math.DS2006★ 51 cited

A generic $C^{1}$ map has no absolutely continuous invariant probability measure

Artur Avila, Jairo Bochi

Let $M$ be a smooth compact manifold (maybe with boundary, maybe disconnected) of any dimension $d \geq 1$ . We consider the set of $C^{1}$ maps $f : M \to M$ which have no absolutely con…

A generic C1 map has no absolutely continuous invariant probability measure

A generic $C^{1}$ map has no absolutely continuous invariant probability measure