Approximation de sous-espaces vectoriels de ℝⁿ par des sous-espaces rationnels

2024/03/05 by Guillot, Gaétan
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2403.02717

Abstract

This PhD thesis elaborates on a problem raised by Schmidt in 1967. We study Diophantine exponents for subspaces, which generalize the irrationality measure for real numbers. We construct subspaces with prescribed exponents and demonstrate properties of algebraic independence among certain exponents.

Related

• Independence of the Diophantine exponents associated with linear subspaces
• Approximation rationnelle de sous-espaces vectoriels
• Construction of subspaces with known Diophantine exponents for the last angle
• Upper bounds and spectrum for approximation exponents for subspaces of ℝⁿ
• On the approximation exponents for subspaces of ℝⁿ