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

Guan, Lifan; Wu, Weisheng

doi:10.1090/tran/7082

Bounded orbits of certain diagonalizable flows on $SL_{n}(R)/SL_{n}(Z)$
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Trans. Amer. Math. Soc. 370 (2018), 4661-4681 Request permission

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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