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- W4327741036 abstract "Abstract For a $C^1$ non-conformal repeller, this paper proves that there exists an ergodic measure of full Carathéodory singular dimension. For an average conformal hyperbolic set of a $C^1$ diffeomorphism, this paper constructs a Borel probability measure (with support strictly inside the repeller) of full Hausdorff dimension. If the average conformal hyperbolic set is of a $C^{1+alpha }$ diffeomorphism, this paper shows that there exists an ergodic measure of maximal dimension." @default.
- W4327741036 created "2023-03-18" @default.
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- W4327741036 date "2023-03-17" @default.
- W4327741036 modified "2023-09-29" @default.
- W4327741036 title "Measures of maximal and full dimension for smooth maps" @default.
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- W4327741036 doi "https://doi.org/10.1017/etds.2023.12" @default.
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