On the Topological Transitivity of Interval Extensions of Anosov Diffeomorphisms
arXiv:2609.24437
Abstract
We establish topological transitivity for a class of analytic partially hyperbolic diffeomorphisms on thickened nilmanifolds. These systems take the form of skew products, constructed as interval extensions of Anosov diffeomorphisms on nilmanifolds. Specifically, we develop a mechanism for topological transitivity allowing arbitrary finite-order parabolic degeneracies in the central direction.
22 pages, 6 figures. Comments are welcome!