12 citations · 12 across the 3 of their papers we have counts for
7 papers
Minimal nonergodic directions on genus 2 translation surfaces
Y. Cheung, H. Masur
It is well-known that on any Veech surface, the dynamics in any minimal direction is uniquely ergodic. In this paper it is shown that for any genus 2 translation surface which is n…
The Pants Complex Has Only One End
Howard Masur, Saul Schleimer
The authors prove that for a closed surface of genus at least 3, the graph of pants decompositions has only one end.
Quasiconvexity in the curve complex
Howard A. Masur, Yair N. Minsky
Let S be the boundary of a handlebody M. We prove that the set of curves in S that are boundaries of disks in M, considered as a subset of the complex of curves of S, is quasi-conv…
Moduli Spaces of Abelian Differentials: The Principal Boundary, Counting Problems and the Siegel--Veech Constants
Alex Eskin, Howard Masur, Anton Zorich
A holomorphic 1-form on a compact Riemann surface S naturally defines a flat metric on S with cone-type singularities. We present the following surprising phenomenon: having found…
Billiards in rectangles with barriers
Alex Eskin, Howard Masur, Martin Schmoll
We use Ratner's theorem to compute the asymptotics of the number of (cylinders of) periodic trajectories in a rectangle with a barrier, assuming that the location p/q of the barrie…
The Weil-Petersson Isometry Group
Howard Masur, Michael Wolf
We prove that every Weil-Petersson isometry of the Teichmuller space T(g,n) is induced by an element of the extended mapping class group; here 3g-3+n > 1 and (g,n) is not (1,2). Ou…