10 papers
Constructing endperiodic loxodromics of infinite-type arc graphs
Priyam Patel, Samuel J. Taylor
We give general conditions to produce endperiodic homeomorphisms that act loxodromically on various arc graphs of infinite-type surfaces.
Equidistribution of hyperbolic groups in homogeneous spaces
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres…
Subsurface distances for hyperbolic 3-manifolds fibering over the circle
Yair N. Minsky, Samuel J. Taylor
For a hyperbolic fibered 3-manifold M, we prove results that uniformly relate the structure of surface projections as one varies the fibrations of M. This extends our previous work…
A polynomial invariant for veering triangulations
Michael Landry, Yair N. Minsky, Samuel J. Taylor
We introduce a polynomial invariant associated to a veering triangulation of a -manifold . In the special case where the triang…
Central limit theorems for counting measures in coarse negative curvature
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
We establish central limit theorems for an action of a group G on a hyperbolic space X with respect to the counting measure on a Cayley graph of G. Our techniques allow us to remov…
Weil-Petersson translation length and manifolds with many fibered fillings
Christopher J. Leininger, Yair N. Minsky, Juan Souto +1
We prove that any mapping torus of a pseudo-Anosov mapping class with bounded normalized Weil-Petersson translation length contains a finite set of transverse and level closed curv…