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- W2246332355 abstract "We prove that, for $C^1$-generic diffeomorphisms, if a homoclinic class is not hyperbolic, then there is a non-hyperbolic ergodic measure supported on it. This proves a conjecture by D'iaz and Gorodetski [28]. We also discuss the conjectured existence of periodic points with different stable dimension in the class." @default.
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- W2246332355 date "2019-01-01" @default.
- W2246332355 modified "2023-10-16" @default.
- W2246332355 title "Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes" @default.
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