Hausdorff dimension estimates for invariant sets with an equivariant tangent bundle splitting
Hausdorff dimension estimates for invariant sets with an equivariant tangent bundle splitting
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DOI：
10.1088/0951-7715/11/4/017
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发表时间：
1998-07
期刊：
影响因子：
1.7
通讯作者：
A. Franz
中科院分区：
文献类型：
--
作者：
A. Franz
Upper bounds for the Hausdorff dimension of compact and invariant sets of diffeomorphisms are given using a singular value function of the tangent map and the topological entropy under the assumption, that there exists an equivariant splitting of the tangent bundle. This improves previous results for compact uniformly hyperbolic sets of diffeomorphisms satisfying an additional pinching condition. Furthermore, it is shown that the results can be extended to a special class of noninjective maps.
