12 citations · 12 across the 3 of their papers we have counts for
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math.DS2005
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…
math.DS2002
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…
math.DS2001
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…