6 citations · 6 across the 4 of their papers we have counts for
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Slow Divergence and Unique Ergodicity
Yitwah Cheung, Alex Eskin
Masur showed that a Teichmuller geodesic that is recurrent in the moduli space of closed Riemann surfaces is necessarily determined by a quadratic differential with a uniquely ergo…
Hausdorff dimension of the set of singular pairs
Yitwah Cheung
In this paper we show that the Hausdorff dimension of the set of singular pairs is 4/3. We also show that the action of diag(e^t,e^t,e^{-2t}) on SL(3,R)/SL(3,Z) admits divergent tr…
Slowly divergent geodesics in moduli space
Y. Cheung
Slowly divergent geodesics in the moduli space of Riemann surfaces of genus at least 2 are constructed via cyclic branched covers of the torus. Nonergodic examples (i.e. geodesics…
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…