### Mixing and Explosions for the Generalized Recurrent Set

- Series
- CDSNS Colloquium
- Time
- Monday, October 21, 2019 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skyles 006
- Speaker
- Jim Wiseman – Agnes Scott – jwiseman@agnesscott.edu

We consider the strong chain recurrent set and the generalized recurrent set for continuous maps of compact metric spaces. Recent work by Fathi and Pageault has shown a connection between the two sets, and has led to new results on them. We discuss a structure theorem for transitive/mixing maps, and classify maps that permit explosions in the size of the recurrent sets.