seminar: Wandering domains for Transcendental Henon maps
speaker: Anna Miriam Benini (Universita' di Parma)abstract: A transcendental Henon map is an automorphisms of $C2$ with constant Jacobian which has the special form $F(z,w)=(f(z)+aw,z)$ with $f:\C\ra\C$ entire transcendental and $a\in\C$.
The Fatou set of F is the set where the dynamics is 'stable' in the sense that the family of iterates is precompact. A special case of connected components of the Fatou set are wandering domains, that is components which are neither periodic nor preperiodic.
In this talk we will discuss two examples of transcendental Henon maps with wandering domains, one with a wandering domain whose orbits converge to infinity, and one with an oscillating orbit of wandering domains.The first example is inspired by the construction of wandering domains in one variable while the second example is costructed using Runge approximation and the Lambda-Lemma from smooth dynamics.
timetable:
Wed 18 Oct, 14:45 - 16:45, Sala Conferenze Centro De Giorgi
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