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Bounded orbits of certain diagonalizable flows on $ SL_{n}(R)/SL_{n}(Z)$

Authors: Lifan Guan and Weisheng Wu
Journal: Trans. Amer. Math. Soc. 370 (2018), 4661-4681
MSC (2010): Primary 11J04; Secondary 22E40, 28A78
Published electronically: December 20, 2017
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Abstract: We prove that the set of points that have bounded orbits under certain diagonalizable flows is a hyperplane absolute winning subset of $ SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$.

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Additional Information

Lifan Guan
Affiliation: Beijing International Center for Mathematical Research, Peking University, Beijing 100871, People’s Republic of China
Address at time of publication: Department of Mathematics, University of York, Heslington, York, YO10 5DD, United Kingdom

Weisheng Wu
Affiliation: Department of Applied Mathematics, College of Science, China Agricultural University, Beijing, 100083, People’s Republic of China

Received by editor(s): April 28, 2016
Received by editor(s) in revised form: September 20, 2016
Published electronically: December 20, 2017
Additional Notes: The research of the second author was supported by CPSF (#2015T80010)
Article copyright: © Copyright 2017 American Mathematical Society

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