153 citations · 438 across the 49 of their papers we have counts for
61 papers
Measure theoretic laws for limsup set defined by rectangles
Dmitry Kleinbock, Baowei Wang
In this paper, we present a general principle for the Lebesgue measure theory of limsup sets defined by rectangles under the hypothesis of ubiquity for rectangles.
On Multiplicatively Badly Approximable Vectors
Reynold Fregoli, Dmitry Kleinbock
Let denote the distance from to the set of integers . The Littlewood Conjecture states that for all pairs t…
A dichotomy phenomenon for Bad minus normed Dirichlet
Dmitry Kleinbock, Anurag Rao
Given a norm on , the set of -Dirichlet improvable numbers was defined and studied in the papers of Andersen-Duke (Acta Arith. 2021) and Kleinb…
Dimension drop for diagonalizable flows on homogeneous spaces
Dmitry Kleinbock, Shahriar Mirzadeh
Let , where is a Lie group and is a lattice in , let be an open subset of , and let be a one-parameter subsemigroup of . Conside…
Dynamical Borel-Cantelli Lemma for Recurrence under Lipschitz Twists
Dmitry Kleinbock, Jiajie Zheng
In the study of some dynamical systems the limsup set of a sequence of measurable sets is often of interest. The shrinking targets and recurrence are two of the most commonly studi…
Metrical properties for the weighted products of multiple partial quotients in continued fractions
Ayreena Bakhtawar, Mumtaz Hussain, Dmitry Kleinbock +1
The classical Khintchine and Jarník theorems, generalizations of a consequence of Dirichlet's theorem, are fundamental results in the theory of Diophantine approximation. These the…