Approximation rationnelle de sous-espaces vectoriels

Abstract

The goal of this PhD thesis is to study a diophantine approximation problem stated by Schmidt in 1967. The problem aim to study the approximation of a subspace of ${\mathbb{R}}^n$ by rational subspaces, not necessarily of the same dimension, by determining the exponents of approximation associated to the various angles between the subspaces.

PhD thesis, in French

Cited by in corpus (2)

• Upper bounds and spectrum for approximation exponents for subspaces of ${\mathbb{R}}^n$
• On the approximation exponents for subspaces of ${\mathbb{R}}^n$