Vasiliy Neckrasov

collaborators

5 papers

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, $I^$ an irreducible lattice in $G$ and $X = G / I^$ . 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…

math.NT2025

Metric theory of inhomogeneous Diophantine approximations with a fixed matrix

Nikolay Moshchevitin, Vasiliy Neckrasov

In this paper we develop a metric theory of inhomogeneous Diophantine approximation for the case of a fixed matrix. We use transference principle to connect uniform Diophantine pro…

math.NT2025

Khintchine-type theorems for weighted uniform inhomogeneous approximations via transference principle

Vasiliy Neckrasov

In [Compositio Math. 155 (2019)] Kleinbock and Wadleigh proved a "zero-one law" for uniform inhomogeneous Diophantine approximations. We generalize this statement with arbitrary we…

math.NT2025

On Nontrivial Winning and Losing Parameters of Schmidt Games

Vasiliy Neckrasov, Eric Zhan

In this paper we study the classical Schmidt game on two families of sets: one related to frequencies of digits in base- $2$ expansions, and one connected to the set of the badly ap…