Non degenerate Birkhoff functions
Abstract
It is known after the works of Mahler, Kleinbock, Margulis, Sprindzuk and others that very well approximated numbers on a manifold form a zero measure set, assuming non-degeneracy conditions. These non-degeneracy conditions are, in many applications, difficult to check. We propose here a setting in which these are automatic. Rather than functions, we consider correspondences which have a better behaviour.
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