5 citations · 19 across the 9 of their papers we have counts for
9 papers · 1 filter
Measure rigidity and -adic Littlewood-type problems
Manfred Einsiedler, Dmitry Kleinbock
The paper investigates various -adic versions of Littlewood's conjecture, generalizing a set-up considered recently by de Mathan and Teulie. In many cases it is shown that the s…
Friendly measures, homogeneous flows and singular vectors
Dmitry Kleinbock, Barak Weiss
We prove that singular vectors have measure zero with respect to any friendly measure on (e.g. the volume measure on a nondegenerate submanifold). This generalizes speci…
Diophantine exponents of measures: a dynamical approach
Dmitry Kleinbock
We place the theory of metric Diophantine approximation on manifolds into a broader context of studying Diophantine properties of points generic with respect to certain measures on…
Flows on -arithmetic homogeneous spaces and applications to metric Diophantine approximation
Dmitry Kleinbock, George Tomanov
The main goal of this work is to establish quantitative nondivergence estimates for flows on homogeneous spaces of products of real and -adic Lie groups. These results have appl…
Baker-Sprindzhuk conjectures for complex analytic manifolds
Dmitry Kleinbock
We show a large class of analytic submanifolds of C^n to be strongly extremal. This generalizes V. Sprindzhuk's solution of the complex case of Mahler's Problem, and settles comple…
Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds
V. Beresnevich, V. Bernik, D. Kleinbock +1
The main objective of this paper is to prove a Khintchine type theorem for divergence for linear Diophantine approximation on non-degenerate manifolds, which completes earlier resu…