4:00 pm Wednesday, November 17, 2010
Stulken Geometry-Analysis Seminar: Transitivity of Non-Compact Extensions of Hyperbolic Systems
by
Andrew Török (University of Houston) in HB 227
Consider a hyperbolic basic set of a smooth diffeomorphism. We are interested in the transitivity of Holder skew-extensions with fiber a non-compact connected Lie group. In the case of compact fibers, the transitive extensions contain an open and dense set. For the non-compact case, we conjectured that this is still true within the set of extensions that avoid the obvious obstructions to transitivity. Within this class of cocycles, we prove generic transitivity for extensions with fiber the special Euclidean group SE(2n+1) (the case SE(2n) was known earlier), general Euclidean-type groups, and some nilpotent groups. This is joint work with Ian Melbourne and Viorel Nitica. Host Department: Rice University-Mathematics
Submitted by damanik@rice.edu |
