A major goal in dynamical system theory is the classification of systems according to the asymptotic behavior exhibited by a typical trajectory. The quadratic family is an example of a class of systems where the status of this classification in both topological (attractors/repellers) and statistical (physical measures) terms is essentially complete -- there are only a few possible different asymptotic "regimes".  A natural question in this context is the possibility of using computers, for instance, to decide which regime a system belongs to, or to accurately describe the invariant objects relevant to a given regime. In this talk we will review the state of the art regarding this question in the case of the real quadratic family. 

Location: Zoom  (ID: 889 2406 3457, Password: 792934)