4 papers · 1 filter
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…
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…
Hausdorff and topological dimension for polynomial automorphisms of $\C^2$
Christian Wolf
Let be a polynomial automorphism of $\C^2$. We study the Hausdorff dimension and topological dimension of the Julia set of . We show that when is a hyperbolic mapping, t…
On measures of maximal and full dimension for polynomial automorphisms of $\C^2$
Christian Wolf
For a hyperbolic polynomial automorphism of $\C^2$, we show the existence of a measure of maximal dimension, and identify the conditions under which a measure of full dimension exi…