Abstract for the talk at 04.11.2014 (15:15 h)

Oberseminar ANALYSIS - PROBABILITY

Sergei Pilyugin (St.-Petersburg State University, Russia)
Shadowing of approximate trajectories in dynamical systems: several results and problems

In this talk, we discuss several problems of the modern shadowing theory:

 

- characterization of homeomorphisms having the Lipschitz shadowing property;

- relations between shadowing and inverse shadowing;

- C0-transversality and shadowing;

- C1-interiors of sets of vector fields with shadowing properties.