By Dubi Kelmer

We give upper and lower bounds for Diophantine exponents measuring how well a point in the plane can be approximated by points in the orbit of a lattice *\Gamma<\mathrm{SL}_2(\mathbb{R})* acting linearly on *\mathbb{R}^2*. Our method gives bounds that are uniform for almost all orbits.

June 28, 2016

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Approximation of points in the plane by generic lattice orbits

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