Abstract
For a special class of non-injective maps on Riemannian manifolds an upper bound for the fractal dimension of invariant set in terms of singular values of the tangent map and degree of non-injectivity is given.
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Chengqin, Q., Zuoling, Z. Fractal dimension estimates for invariant sets of non-injective maps. Anal. Theory Appl. 19, 108–114 (2003). https://doi.org/10.1007/BF02835234
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DOI: https://doi.org/10.1007/BF02835234