Special Session 73: Entropy and statistical properties for smooth dynamics
Contents
It is well-known that it is possible to construct a partially hyperbolic diffeomorphism on the 3-torus like Kam example. It has two hyperbolic physical measures with intermingled basins on two embedded tori with Anosov dynamics. A natural question is how robust are the intermingled basin phenomena for diffeomorphisms defined on boundaryless manifolds? In this talk we will show that in the 3-torus the only partially hyperbolic examples having hyperbolic physical measures with intermingled basins are not robust.