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- W4285180953 abstract "<abstract> In this paper, we first conclude sharp upper and sharp lower bounds of dimensions of a repeller with dominated splitting for <italic>C</italic><sup>1</sup> expanding maps, using the techniques in sub-additive and super-additive thermodynamic formalism. Furthermore, we prove a sharp upper bound for the Hausdorff dimension of an expanding measure is given by the unique solution of sub-additive measure-theoretic pressure equation for <italic>C</italic><sup>1</sup> local diffeomorphisms. </abstract>" @default.
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- W4285180953 date "2022-01-01" @default.
- W4285180953 modified "2023-09-26" @default.
- W4285180953 title "DIMENSION ESTIMATES FOR REPELLERS AND EXPANDING MEASURES OF <i>C</i><sup>1</sup> DYNAMICAL SYSTEMS" @default.
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- W4285180953 doi "https://doi.org/10.11948/20210316" @default.
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