5 citations · 10 across the 4 of their papers we have counts for
8 papers · 1 filter
Fixed Points of abelian actions on
John Franks, Michael Handel, Kamlesh Parwani
We prove that if is a finitely generated abelian group of orientation preserving diffeomorphisms of which leaves invariant a compact set then there is a common fixe…
Distortion Elements in Group actions on surfaces
John Franks, Michael Handel
If $\G$ is a finitely generated group with generators then an infinite order element $f \in \G$ is a {\em distortion element} of $\G$ provided $\displaystyle{\lim…
Rotation Numbers and Instability Sets
John Franks
Translation and rotation numbers have played an interesting and important role in the qualitative description of various dynamical systems. In this exposition we are especially int…
A Hölder continuous vector field tangent to many foliations
Christian Bonatti, John Franks
We construct an example of a Hölder continuous vector field on the plane which is tangent to all foliations in a continuous family of pairwise distinct foliations. Given any…
Groups of homeomorphisms of one-manifolds, III: Nilpotent subgroups
Benson Farb, John Franks
This paper has been withdrawn by the authors; it will be incorporated into part I of the series (in preparation).
Group actions on one-manifolds, II: Extensions of Hölder's Theorem
Benson Farb, John Franks
We study groups of homeomorphisms of R, each of whose elements have at most one fixed point. In particular we prove that any such group of C^2 diffeomorphisms is topologically conj…