Non-autonomous Basins of Attraction with 4-dimensional Boundaries
نویسنده
چکیده
We study whether the basin of attraction of a sequence of automorphisms of C is biholomorphic to C. In particular we show that given any sequence of automorphisms with the same attracting fixed point, the basin is biholomorphic to C if the maps are repeated often enough. We also construct Fatou-Bieberbach domains whose boundaries are 4-dimensional.
منابع مشابه
Non-autonomous Basins of Attraction and Their Boundaries
We study whether the basin of attraction of a sequence of automorphisms of Ck is biholomorphic to Ck. In particular we show that given any sequence of automorphisms with the same attracting fixed point, the basin is biholomorphic to Ck if every map is iterated sufficiently many times. We also construct Fatou-Bieberbach domains in C2 whose boundaries are 4-
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