Generic expanding maps without absolutely continuous invariant $σ$-finite measure

Details Generic expanding maps without absolutely continuous invariant $σ$-finite measure Generic expanding maps without absolutely continuous invariant $σ$-finite measure

2006-08-02

arxiv.org/abs/math/0608062v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

We show that a $C^1$-generic expanding map of the circle has no absolutely
continuous invariant $\sigma$-finite measure.

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