This unique reference, aimed at research topologists, gives an exposition of the'pseudo-
Anosov'theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of …

Geodesic flows of Riemannian or Finsler manifolds have been the only known contact
Anosov flows. We show that even in dimension 3 the world of contact Anosov flows is vastly …

We consider random dynamical systems such as groups of conformal transformations with a
probability measure, or transversally conformal foliations with a Laplace operator along the …

Let $\mathcal {F} _1 $ and $\mathcal {F} _2 $ be transverse two dimensional foliations with
Gromov hyperbolic leaves in a closed 3-manifold $ M $ whose fundamental group is not …

We first prove rigidity results for pseudo-Anosov flows in prototypes of toroidal 3–manifolds:
we show that a pseudo-Anosov flow in a Seifert fibered manifold is up to finite covers …

Given a general pseudo-Anosov flow in a closed three manifold, the orbit space of the lifted
flow to the universal cover is homeomorphic to an open disk. We construct a natural …

We show that if $\mathcal {F} _1 $ and $\mathcal {F} _2 $ are two transverse minimal
foliations on $ M= T^ 1S $ then either they intersect in an Anosov foliation or there exists a …

We show that if a hyperbolic 3-manifold admits a partially hyperbolic diffeomorphism then it
also admits an Anosov flow. Moreover, we give a complete classification of partially …

This work is at the intersection of dynamical systems and contact geometry, and it focuses on
the effects of a contact surgery adapted to the study of Reeb fields and on the effects of …

Abstract Landry, Minsky and Taylor defined the taut polynomial of a veering triangulation. Its
specialisations generalise the Teichmüller polynomial of a fibred face of the Thurston norm …