PermalinkSubmitted by BrianMarcus on Mon, 11/14/2016 - 11:47

For an Axiom A basic set, C-dense means that the flow is mixing; I think that the terminology comes from the connection with the density of strong stable (contracting) leaves.

PermalinkSubmitted by tfisher on Mon, 07/03/2017 - 10:23

Ponce and Varao [1] recently proved a rigidity result that characterizes when an invariant measure for the time-1 map of a flow will be invariant measure for the flow. Surprisingly, the result is very general and does not require hyperbolic properties for the flow.

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## FL

No, cf [1]

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## BHM

For an Axiom A basic set, C-dense means that the flow is mixing; I think that the terminology comes from the connection with the density of strong stable (contracting) leaves.

## Ponce and Varao PonceVarao

Ponce and Varao [1] recently proved a rigidity result that characterizes when an invariant measure for the time-1 map of a flow will be invariant measure for the flow. Surprisingly, the result is very general and does not require hyperbolic properties for the flow.

## References

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