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arXiv · 2407.21495

Non degenerate Birkhoff functions

Mauricio Garay·Duco van Straten
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Abstract

It is known after the works of Mahler, Kleinbock, Margulis, Sprind\v{z}uk 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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Mauricio Garay, Duco van Straten. 2024-07-31. Non degenerate Birkhoff functions. https://arxiv.org/abs/2407.21495

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