Non degenerate Birkhoff functions
Dynamical Systems
2024-08-01 v1 Number Theory
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.
Cite
@article{arxiv.2407.21495,
title = {Non degenerate Birkhoff functions},
author = {Mauricio Garay and Duco van Straten},
journal= {arXiv preprint arXiv:2407.21495},
year = {2024}
}