Luka Boc Thaler: Reduced dynamical systems
Luka Boc Thaler: Reduced dynamical systems.
Abstract: We investigate dynamical properties of complex rational maps that are preserved after reducing their orbits to a finite number of real values. Our work is motivated by the paper of Fornaess and Peters, in which they prove that, in the case of a non-exceptional polynomial, one can recover its topological and measure theoretical entropy from the real parts of finitely many elements in every orbit. This result was generalized further to all polynomials. In our case we are dealing with complex rational maps defined on the Riemann sphere and since there is no natural value that could be assigned to the real part of infinity, we instead use the Fubini-Study distance between the origin and a given element of the orbit. Our goal was to determine for which complex rational maps the two above mentioned entropies are preserved after such reduction. This is joint work with Uroš Kuzman.
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
Vodji seminarja
Franc Forstnerič in Barbara Drinovec Drnovšek