D. Kleinbock

activity

19982023

most citedLogarithm laws for flows on homogeneous spaces

153 citations · 438 across the 49 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.DS2017

Dimension estimates for the set of points with non-dense orbit in homogeneous spaces

Dmitry Kleinbock, Shahriar Mirzadeh

Let $X = G /Γ$ , where $G$ is a Lie group and $Γ$ is a lattice in $G$ , and let $U$ be a subset of $X$ whose complement is compact. We use the exponential mixing results for diagonali…

math.NT2017★ 21 cited

An inhomogeneous Dirichlet theorem via shrinking targets

Dmitry Kleinbock, Nick Wadleigh

We give an integrability criterion on a real-valued non-increasing function $ψ$ guaranteeing that for almost all (or almost no) pairs $(A, b)$ , where $A$ is a real $m\time…

math.DS2017

Distance-like functions and smooth approximations: a correction to "Logarithm laws for flows on homogeneous spaces"

Dmitry Kleinbock, Gregory Margulis

One of the propositions in the paper [D. Kleinbock and G.A. Margulis, Logarithm laws for flows on homogeneous spaces, Invent. Math. 138 (1999), 451-494] related to approximating ce…

math.NT2017★ 46 cited

Hausdorff measure of sets of Dirichlet non-improvable numbers

Mumtaz Hussain, Dmitry Kleinbock, Nick Wadleigh +1

Let $ψ : R_{+} \to R_{+}$ be a non-increasing function. A real number $x$ is said to be $ψ$ -Dirichlet improvable if it admits an improvement to Dirichlet's theorem in the f…

math.DS2017

An application of lattice points counting to shrinking target problems

Dmitry Kleinbock, Xi Zhao

We apply lattice points counting results of Gorodnik and Nevo to solve a shrinking target problem in the setting of geodesic flows on hyperbolic manifolds of finite volume.