Ergodic invariant measures with positive entropy for continuous flows without fixed points are positively expansive, the set of expansive measures is G_delta_sigma, and such measures can be approximated by invariant-supported ones.
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On the Invariance of Expansive Measures for Flows
Ergodic invariant measures with positive entropy for continuous flows without fixed points are positively expansive, the set of expansive measures is G_delta_sigma, and such measures can be approximated by invariant-supported ones.