Dynamical Fixed Points?

  • Bob Simon (Universität Göttingen)
A3 02 (Seminar room)


Given a compact subset C of R^n and a correspondence

F : C ---> R^n

(i.e. a subset of C x R^n), which conditions may insure the existence of an "infinite orbit". i.e. an infinite sequence x_0, x_1, ... with (x_i,x_{i+1}) in F for all i?

If F is "continuous", one can find a compact non-empty subset D of C with "F(D)=D". However, when can this be improved to yield the existence of an infinite orbit?

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail