19 citations · 30 across the 9 of their papers we have counts for
9 papers
Polynomial invariants of pseudo-Anosov maps
Joan Birman, Peter Brinkmann, Keiko Kawamuro
We investigate the structure of the characteristic polynomial det(xI-T) of a transition matrix T that is associated to a train track representative of a pseudo-Anosov map [F] actin…
Detecting automorphic orbits in free groups
Peter Brinkmann
We present an effective algorithm for detecting automorphic orbits in free groups, as well as a number of algorithmic improvements of train tracks for free group automorphisms.
A note on pseudo-Anosov maps with small growth rate
Peter Brinkmann
We present an explicit sequence of pseudo-Anosov maps of surfaces of genus whose growth rates converge to one.
Dynamics of free group automorphisms
Peter Brinkmann
We present a coarse convexity result for the dynamics of free group automorphisms: Given an automorphism of a finitely generated free group , we show that for all a…
Splittings of mapping tori of free group automorphisms
Peter Brinkmann
We present necessary and sufficient conditions for the existence of a splitting over of the mapping torus of a free group automorphism .
Computing Triangulations of Mapping Tori of Surface Homeomorphisms
Peter Brinkmann, Saul Schleimer
We present the mathematical background of a software package that computes triangulations of mapping tori of surface homeomorphisms, suitable for Jeff Weeks's program SnapPea. It c…