Astrid Franz 2000 Nonlinearity 13 1425 doi:10.1088/0951-7715/13/5/301
Astrid Franz
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Upper bounds for the Hausdorff dimension of compact invariant sets of C1-maps on smooth Riemannian manifolds are given in terms of the singular values of the tangent map and the multiplicity function of the map, describing the number of pre-images of a certain point in a given set. For non-injective maps this improves previous results using only the singular values.
02.30.Cj Measure and integration
Issue 5 (September 2000)
Received 22 March 1999, in final form 22 May 2000
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