[CvGmt News] Centro De Giorgi: annuncio seminario di sistemi dinamici

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Ci scusiamo per eventuali annunci ripetuti

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CENTRO DI RICERCA MATEMATICA "ENNIO DE GIORGI"
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​Ricordiamo
 che mercoledì 18 Ottobre alle ore 15:00  in Sala Conferenze, Centro di
Ricerca Matematica Ennio De Giorgi, Collegio Puteano, Piazza dei Cavalieri
3 ci sarà il seguente seminario

Title: Wandering domains for Transcendental Henon maps

Speaker: Dr. Anna Miriam Benini - Università di Roma Tor Vergata


Abstract: A transcendental Henon map is an automorphisms of $C^2$ 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.


Tutti gli interessati sono invitati a partecipare.

Cordiali saluti.
Antonella Gregorace
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