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math.DS2003
Stable sets, hyperbolicity and dimension
Rasul Shafikov, Christian Wolf
In this note we derive an upper bound for the Hausdorff dimension of the stable set of a hyperbolic set of a diffeomorphisms on a -dimensional manifold. As a consequen…
math.DS2002
Filtrations, hyperbolicity and dimension for polynomial automorphisms of C^n
Rasul Shafikov, Christian Wolf
In this paper we study the dynamics of regular polynomial automorphisms of C^n. These maps provide a natural generalization of complex Henon maps in C^2 to higher dimensions. For a…