9 citations · 26 across the 12 of their papers we have counts for
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math.NT2018★ 6 cited
Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
Sam Chow, Anish Ghosh, Lifan Guan +2
We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transference inequality for lattices, due to Bugeaud and Laurent, to a weighted setting.…
math.DS2018★ 9 cited
Hausdorff dimension of divergent trajectories on homogeneous space
Lifan Guan, Ronggang Shi
For one parameter subgroup action on a finite volume homogeneous space, we consider the set of points admitting divergent on average trajectories. We show that the Hausdorff dimens…