6 citations · 8 across the 2 of their papers we have counts for
3 papers
math.DS2017★ 6 cited
Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds
Thomas Barthelmé, Sergio Fenley, Steven Frankel +1
We announce some results towards the classification of partially hyperbolic diffeomorphisms on 3-manifolds, and outline the proofs in the case when the diffeomorphism is dynamicall…
math.DS2017★ 2 cited
Flexibility of geometrical and dynamical data in fixed conformal classes
Thomas Barthelmé, Alena Erchenko
Consider a smooth closed surface of fixed genus with a hyperbolic metric of total area . In this article, we study the behavior of geometric and dynamical…
math.DS2015
Counting periodic orbits of Anosov flows in free homotopy classes
Thomas Barthelmé, Sergio R. Fenley
The main result of this article is that if a -manifold supports an Anosov flow, then the number of conjugacy classes in the fundamental group of grows exponentially fast…