Intermingled Basins in Real and Complex Dynamics
Time and place
1 PM on Thursday, April 30th, 2015; NAC 6/133
Araceli Bonifant (University of Rhode Island)
Abstract
The basins of attraction of two or more attractors are called intermingled if any open disk which intersects any one of the basins will intersect each of them in a set of positive Lebesgue measure. The lecture will first describe an easy example, making use of Schwarzian derivatives. It will then describe a harder example which arises in studying rational functions from the real or complex projective plane to itself.
