Abstract: Stability is a central problem in the theory of dynamical systems.
There are mainly two types of stability: structural stability and stochastic
stability. Structural stability means that the topological properties of the
system remain unchanged after a small perturbation, which turns out to be
tightly linked to uniform hyperbolicity. Stochastic stability means that
the probabilistic properties remain roughly unchanged under small random
perturbations. This notion, introduced by Kolmogrov and Sinai, is proposed
by Palis as a property of typical dynamics. In this talk I will discuss some
recent development on stability of interval maps.
Tea Time: 3:30pm, R707