3 papers
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.CV2002
A local extension theorem for proper holomorphic mappings in C^2
Rasul Shafikov, Kaushal Verma
Let f be a proper holomorphic mapping between bounded domains D and D' in C^2. Let M, M' be open pieces on the boundaries of D and D' respectively, that are smooth, real analytic a…
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…