471 citations
- University of California, BerkeleyUS33 papers
- University of California, Santa CruzUS20 papers
- Carnegie ObservatoriesUS14 papers
- Carnegie Institution for ScienceUS12 papers
- Center for Astrophysics Harvard & SmithsonianUS12 papers
- Johns Hopkins UniversityUS10 papers
- The Ohio State UniversityUS10 papers
- Tel Aviv UniversityIL8 papers
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- Hungarian Astronomical AssociationHU6 papers
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math.DS2007
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…
math.DS2006
Hausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space
Yitwah Cheung
In this paper we compute the Hausdorff dimension of the set D_n of points on divergent trajectories of the homogeneous flow induced by a certain one-parameter subgroup of G=SL(2,R)…
math.DS2006★ 2 cited
Topological Dichotomy and Strict Ergodicity for Translation Surfaces
Yitwah Cheung, Pascal Hubert, Howard Masur
In this paper the authors find examples of translation surfaces that have infinitely generated Veech groups, satisfy the topological dichotomy property that for every direction eit…