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Sparse Equidistribution of Unipotent Orbits in Finite-Volume Quotients of $\text{PSL}(2,\mathbb R)$, with Appendices of Hausdorff Dimensions of Subsets of Non-Diophantine Points and the Effective Equidistribution of Horospherical Orbits
Cheng Zheng
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Article
Publication Date:
2015-03-20
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0
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arXiv (Cornell University) -
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Bounded orbits of nonquasiunipotent flows on homogeneous spaces
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Limit distributions of polynomial trajectories on homogeneous spaces
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Discrete Subgroups and Ergodic Theory**Editorial note. After consultation with G. A. Margulis it was agreed to make some changes directly on the original manuscript, without returning it to him, in order to save time. A. Borel kindly provided the necessary revision, including an additional argument supplied by G. Prasad in the proof of Lemma A. The appendix in the original manuscript has been transformed and reorganized into Section 4; the historical background material and the bibliography …
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Uniform distribution of horocycle orbits for Fuchsian groups
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Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation.
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Invariant measures of horospherical flows on noncompact homogeneous spaces
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