Natalia N. Dyakova

collaborators

2 papers

math.NT2018

On badly approximable subspaces

Natalia Dyakova

Given an $a$ -dimensional linear subspace $A$ in $R^{d}$ which contains a badly approximable $b$ -dimensional subspace $B \subset A$ . We study…

math.NT2017

Sets of inhomogeneous linear forms can be not isotropically winning

Natalia Dyakova

We give an example of irrational vector $θ \in R^{2}$ such that the set $Bad_{\pmbθ} := \{(η_1,η_2): \inf_{x\in\mathbb{N}} x^{\frac{1}{2}} \max_{i=1,2} \|x θ_i-η_i\|>0\}…