Antoine Marnat, Nikolay Moshchevitin
Published 2022-03-08Version 1
Considering simultaneous approximation to three numbers, we study the geometry of the sequence of best approximations. We provide a sharper lower bound for the ratio between ordinary and uniform exponent of Diophantine approximation, optimal in terms of this geometry.
Comments: 15 pages, 2 figures
On a problem of K. Mahler: Diophantine approximation and Cantor sets
Diophantine approximation on curves
Exponents of diophantine approximation in dimension $2$ for numbers of Sturmian type
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