On Exponents of Homogeneous and Inhomogeneous Diophantine Approximation

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Parametric geometry of numbers and applications (2009, background): “In the context of Dirichlet’s Theorem on simultaneous approximation we now specialize further to the case of dimension two in Jarńık’s and Laurent’s papers, which corresponds to n = 3 in our notation.”
On transfer inequalities in Diophantine approximation (2007, unknown): “Following the “hat” notations of [1], introduce first uniform analogues of the above-mentioned exponents ω0(Θ) and ωn−1(Θ).”
On shrinking targets for Z^m actions on tori (2008, background): “The reader is referred to [5] and §5 below for further details.”
Exponents of Diophantine approximation (2006, background): “The following result, established in [27, 22], shows that the usual (resp.”