Dmitry Kleinbock

activity

20222026

most citedSingularity, weighted uniform approximation, intersections and rates

1 citations · 1 across the 9 of their papers we have counts for

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math.NT2026

Density of the multidimensional Lagrange spectrum

Dmitry Kleinbock

The Lagrange spectrum is a classical object in number theory, defined as the set of values of $lim inf_{q \to \infty} q dist (q α, Z)$ where $α$ runs through irratio…

math.DS2026

Bounded trajectories of quasi-rays on homogeneous spaces and Diophantine approximation with weight functions

Dmitry Kleinbock, Vasiliy Neckrasov

Let $G$ be a connected semisimple real Lie group, $Γ$ an irreducible lattice in $G$ and $X = G /Γ$ . Let $F = {g_{t} : t \geq 0}$ be a non-quasiunipotent one-parameter subsemigroup of $…

math.NT2026

Uniform Diophantine approximation with restrictions via total density of collections of subspaces

Leo Hong, Dmitry Kleinbock, Vasiliy Neckrasov

In 1926 Khintchine introduced a topological argument proving the existence of uncountably many nontrivial singular linear forms of $n \geq 2$ variables. Throughout the years, this…